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Finding the Fourth Proportional to 24,489.81, 36,733.91 and 10,638.81

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Solution

The fourth proportional to 24,489.81, 36,733.91 and 10,638.81 is: 15,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,489.81 : 36,733.91 = 10,638.81 : x
  2. Step 2: Convert to fraction form
    24,489.81/36,733.91 = 10,638.81/x
  3. Step 3: Cross multiply
    24,489.81x = 36,733.91 × 10,638.81
  4. Step 4: Simplify right side
    24,489.81x = 390,805,035.85
  5. Step 5: Solve for x
    x = 390,805,035.85/24,489.81
  6. Step 6: Final answer
    x = 15,957.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.