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Finding the Fourth Proportional to 24,881.92, 34,337.28 and 13,704

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Solution

The fourth proportional to 24,881.92, 34,337.28 and 13,704 is: 18,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,881.92 : 34,337.28 = 13,704 : x
  2. Step 2: Convert to fraction form
    24,881.92/34,337.28 = 13,704/x
  3. Step 3: Cross multiply
    24,881.92x = 34,337.28 × 13,704
  4. Step 4: Simplify right side
    24,881.92x = 470,558,085.12
  5. Step 5: Solve for x
    x = 470,558,085.12/24,881.92
  6. Step 6: Final answer
    x = 18,911.65

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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.