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Finding the Fourth Proportional to 14,357,752.92, 19,813,761.07 and 7,831,522.58

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Solution

The fourth proportional to 14,357,752.92, 19,813,761.07 and 7,831,522.58 is: 10,807,534.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357,752.92 : 19,813,761.07 = 7,831,522.58 : x
  2. Step 2: Convert to fraction form
    14,357,752.92/19,813,761.07 = 7,831,522.58/x
  3. Step 3: Cross multiply
    14,357,752.92x = 19,813,761.07 × 7,831,522.58
  4. Step 4: Simplify right side
    14,357,752.92x = 155,171,917,095,782.34
  5. Step 5: Solve for x
    x = 155,171,917,095,782.34/14,357,752.92
  6. Step 6: Final answer
    x = 10,807,534.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.