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Finding the Fourth Proportional to 14,111.31, 19,474.32 and 7,823.70

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Solution

The fourth proportional to 14,111.31, 19,474.32 and 7,823.70 is: 10,797.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.31 : 19,474.32 = 7,823.70 : x
  2. Step 2: Convert to fraction form
    14,111.31/19,474.32 = 7,823.70/x
  3. Step 3: Cross multiply
    14,111.31x = 19,474.32 × 7,823.70
  4. Step 4: Simplify right side
    14,111.31x = 152,361,237.38
  5. Step 5: Solve for x
    x = 152,361,237.38/14,111.31
  6. Step 6: Final answer
    x = 10,797.10

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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.