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Finding the Fourth Proportional to 24,727.52, 37,097.12 and 8,087.49

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Solution

The fourth proportional to 24,727.52, 37,097.12 and 8,087.49 is: 12,133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,727.52 : 37,097.12 = 8,087.49 : x
  2. Step 2: Convert to fraction form
    24,727.52/37,097.12 = 8,087.49/x
  3. Step 3: Cross multiply
    24,727.52x = 37,097.12 × 8,087.49
  4. Step 4: Simplify right side
    24,727.52x = 300,022,607.25
  5. Step 5: Solve for x
    x = 300,022,607.25/24,727.52
  6. Step 6: Final answer
    x = 12,133.14

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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.