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Finding the Fourth Proportional to 24,758, 34,166.56 and 13,580

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Solution

The fourth proportional to 24,758, 34,166.56 and 13,580 is: 18,740.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,758 : 34,166.56 = 13,580 : x
  2. Step 2: Convert to fraction form
    24,758/34,166.56 = 13,580/x
  3. Step 3: Cross multiply
    24,758x = 34,166.56 × 13,580
  4. Step 4: Simplify right side
    24,758x = 463,981,884.80
  5. Step 5: Solve for x
    x = 463,981,884.80/24,758
  6. Step 6: Final answer
    x = 18,740.69

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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.