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Finding the Fourth Proportional to 24,564.65, 36,854.27 and 11,424.83

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Solution

The fourth proportional to 24,564.65, 36,854.27 and 11,424.83 is: 17,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564.65 : 36,854.27 = 11,424.83 : x
  2. Step 2: Convert to fraction form
    24,564.65/36,854.27 = 11,424.83/x
  3. Step 3: Cross multiply
    24,564.65x = 36,854.27 × 11,424.83
  4. Step 4: Simplify right side
    24,564.65x = 421,053,528.13
  5. Step 5: Solve for x
    x = 421,053,528.13/24,564.65
  6. Step 6: Final answer
    x = 17,140.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.