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Finding the Fourth Proportional to 16,457.68, 22,711.72 and 10,084.28

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Solution

The fourth proportional to 16,457.68, 22,711.72 and 10,084.28 is: 13,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.68 : 22,711.72 = 10,084.28 : x
  2. Step 2: Convert to fraction form
    16,457.68/22,711.72 = 10,084.28/x
  3. Step 3: Cross multiply
    16,457.68x = 22,711.72 × 10,084.28
  4. Step 4: Simplify right side
    16,457.68x = 229,031,343.76
  5. Step 5: Solve for x
    x = 229,031,343.76/16,457.68
  6. Step 6: Final answer
    x = 13,916.38

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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.