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Finding the Fourth Proportional to 24,815.16, 37,232.46 and 9,234

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Solution

The fourth proportional to 24,815.16, 37,232.46 and 9,234 is: 13,854.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,815.16 : 37,232.46 = 9,234 : x
  2. Step 2: Convert to fraction form
    24,815.16/37,232.46 = 9,234/x
  3. Step 3: Cross multiply
    24,815.16x = 37,232.46 × 9,234
  4. Step 4: Simplify right side
    24,815.16x = 343,804,535.64
  5. Step 5: Solve for x
    x = 343,804,535.64/24,815.16
  6. Step 6: Final answer
    x = 13,854.62

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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.