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Finding the Fourth Proportional to 16,371.66, 22,591.71 and 10,084.14

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Solution

The fourth proportional to 16,371.66, 22,591.71 and 10,084.14 is: 13,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,371.66 : 22,591.71 = 10,084.14 : x
  2. Step 2: Convert to fraction form
    16,371.66/22,591.71 = 10,084.14/x
  3. Step 3: Cross multiply
    16,371.66x = 22,591.71 × 10,084.14
  4. Step 4: Simplify right side
    16,371.66x = 227,817,966.48
  5. Step 5: Solve for x
    x = 227,817,966.48/16,371.66
  6. Step 6: Final answer
    x = 13,915.39

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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.