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Finding the Fourth Proportional to 24,854.62, 37,283.10 and 7,324.60

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Solution

The fourth proportional to 24,854.62, 37,283.10 and 7,324.60 is: 10,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.62 : 37,283.10 = 7,324.60 : x
  2. Step 2: Convert to fraction form
    24,854.62/37,283.10 = 7,324.60/x
  3. Step 3: Cross multiply
    24,854.62x = 37,283.10 × 7,324.60
  4. Step 4: Simplify right side
    24,854.62x = 273,083,794.26
  5. Step 5: Solve for x
    x = 273,083,794.26/24,854.62
  6. Step 6: Final answer
    x = 10,987.24

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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.