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Finding the Fourth Proportional to 29,916.38, 41,284.40 and 16,487.66

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Solution

The fourth proportional to 29,916.38, 41,284.40 and 16,487.66 is: 22,752.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,916.38 : 41,284.40 = 16,487.66 : x
  2. Step 2: Convert to fraction form
    29,916.38/41,284.40 = 16,487.66/x
  3. Step 3: Cross multiply
    29,916.38x = 41,284.40 × 16,487.66
  4. Step 4: Simplify right side
    29,916.38x = 680,683,150.50
  5. Step 5: Solve for x
    x = 680,683,150.50/29,916.38
  6. Step 6: Final answer
    x = 22,752.86

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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.