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Finding the Fourth Proportional to 24,766.62, 37,149.53 and 9,975.17

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Solution

The fourth proportional to 24,766.62, 37,149.53 and 9,975.17 is: 14,962.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,766.62 : 37,149.53 = 9,975.17 : x
  2. Step 2: Convert to fraction form
    24,766.62/37,149.53 = 9,975.17/x
  3. Step 3: Cross multiply
    24,766.62x = 37,149.53 × 9,975.17
  4. Step 4: Simplify right side
    24,766.62x = 370,572,641.55
  5. Step 5: Solve for x
    x = 370,572,641.55/24,766.62
  6. Step 6: Final answer
    x = 14,962.58

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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.