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Finding the Fourth Proportional to 24,762.46, 37,149.15 and 9,180.08

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Solution

The fourth proportional to 24,762.46, 37,149.15 and 9,180.08 is: 13,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762.46 : 37,149.15 = 9,180.08 : x
  2. Step 2: Convert to fraction form
    24,762.46/37,149.15 = 9,180.08/x
  3. Step 3: Cross multiply
    24,762.46x = 37,149.15 × 9,180.08
  4. Step 4: Simplify right side
    24,762.46x = 341,032,123.03
  5. Step 5: Solve for x
    x = 341,032,123.03/24,762.46
  6. Step 6: Final answer
    x = 13,772.15

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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.