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Finding the Fourth Proportional to 25,132.56, 37,700.12 and 9,551.44

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Solution

The fourth proportional to 25,132.56, 37,700.12 and 9,551.44 is: 14,327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,132.56 : 37,700.12 = 9,551.44 : x
  2. Step 2: Convert to fraction form
    25,132.56/37,700.12 = 9,551.44/x
  3. Step 3: Cross multiply
    25,132.56x = 37,700.12 × 9,551.44
  4. Step 4: Simplify right side
    25,132.56x = 360,090,434.17
  5. Step 5: Solve for x
    x = 360,090,434.17/25,132.56
  6. Step 6: Final answer
    x = 14,327.65

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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.