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Finding the Fourth Proportional to 14,913.25, 22,361.90 and 7,875.47

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Solution

The fourth proportional to 14,913.25, 22,361.90 and 7,875.47 is: 11,808.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,913.25 : 22,361.90 = 7,875.47 : x
  2. Step 2: Convert to fraction form
    14,913.25/22,361.90 = 7,875.47/x
  3. Step 3: Cross multiply
    14,913.25x = 22,361.90 × 7,875.47
  4. Step 4: Simplify right side
    14,913.25x = 176,110,472.59
  5. Step 5: Solve for x
    x = 176,110,472.59/14,913.25
  6. Step 6: Final answer
    x = 11,808.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.