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Finding the Fourth Proportional to 27,643.98, 38,153.13 and 15,711.17

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Solution

The fourth proportional to 27,643.98, 38,153.13 and 15,711.17 is: 21,683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,643.98 : 38,153.13 = 15,711.17 : x
  2. Step 2: Convert to fraction form
    27,643.98/38,153.13 = 15,711.17/x
  3. Step 3: Cross multiply
    27,643.98x = 38,153.13 × 15,711.17
  4. Step 4: Simplify right side
    27,643.98x = 599,430,061.78
  5. Step 5: Solve for x
    x = 599,430,061.78/27,643.98
  6. Step 6: Final answer
    x = 21,683.92

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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.