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Finding the Fourth Proportional to 24,428.52, 36,613.62 and 13,338

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Solution

The fourth proportional to 24,428.52, 36,613.62 and 13,338 is: 19,991.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,428.52 : 36,613.62 = 13,338 : x
  2. Step 2: Convert to fraction form
    24,428.52/36,613.62 = 13,338/x
  3. Step 3: Cross multiply
    24,428.52x = 36,613.62 × 13,338
  4. Step 4: Simplify right side
    24,428.52x = 488,352,463.56
  5. Step 5: Solve for x
    x = 488,352,463.56/24,428.52
  6. Step 6: Final answer
    x = 19,991.08

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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.