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Finding the Fourth Proportional to 24,727.98, 37,098.09 and 7,197.96

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Solution

The fourth proportional to 24,727.98, 37,098.09 and 7,197.96 is: 10,798.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,727.98 : 37,098.09 = 7,197.96 : x
  2. Step 2: Convert to fraction form
    24,727.98/37,098.09 = 7,197.96/x
  3. Step 3: Cross multiply
    24,727.98x = 37,098.09 × 7,197.96
  4. Step 4: Simplify right side
    24,727.98x = 267,030,567.90
  5. Step 5: Solve for x
    x = 267,030,567.90/24,727.98
  6. Step 6: Final answer
    x = 10,798.72

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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.