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Finding the Fourth Proportional to 29,812.72, 41,141.56 and 16,384

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Solution

The fourth proportional to 29,812.72, 41,141.56 and 16,384 is: 22,609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,812.72 : 41,141.56 = 16,384 : x
  2. Step 2: Convert to fraction form
    29,812.72/41,141.56 = 16,384/x
  3. Step 3: Cross multiply
    29,812.72x = 41,141.56 × 16,384
  4. Step 4: Simplify right side
    29,812.72x = 674,063,319.04
  5. Step 5: Solve for x
    x = 674,063,319.04/29,812.72
  6. Step 6: Final answer
    x = 22,609.92

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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.