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Finding the Fourth Proportional to 24,469.71, 36,645.68 and 13,913.91

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Solution

The fourth proportional to 24,469.71, 36,645.68 and 13,913.91 is: 20,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,469.71 : 36,645.68 = 13,913.91 : x
  2. Step 2: Convert to fraction form
    24,469.71/36,645.68 = 13,913.91/x
  3. Step 3: Cross multiply
    24,469.71x = 36,645.68 × 13,913.91
  4. Step 4: Simplify right side
    24,469.71x = 509,884,623.84
  5. Step 5: Solve for x
    x = 509,884,623.84/24,469.71
  6. Step 6: Final answer
    x = 20,837.38

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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.