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Finding the Fourth Proportional to 24,357.75, 33,613.70 and 13,747.16

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Solution

The fourth proportional to 24,357.75, 33,613.70 and 13,747.16 is: 18,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,357.75 : 33,613.70 = 13,747.16 : x
  2. Step 2: Convert to fraction form
    24,357.75/33,613.70 = 13,747.16/x
  3. Step 3: Cross multiply
    24,357.75x = 33,613.70 × 13,747.16
  4. Step 4: Simplify right side
    24,357.75x = 462,092,675.29
  5. Step 5: Solve for x
    x = 462,092,675.29/24,357.75
  6. Step 6: Final answer
    x = 18,971.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.