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Finding the Fourth Proportional to 25,652.72, 38,464.68 and 9,008.12

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Solution

The fourth proportional to 25,652.72, 38,464.68 and 9,008.12 is: 13,507.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,652.72 : 38,464.68 = 9,008.12 : x
  2. Step 2: Convert to fraction form
    25,652.72/38,464.68 = 9,008.12/x
  3. Step 3: Cross multiply
    25,652.72x = 38,464.68 × 9,008.12
  4. Step 4: Simplify right side
    25,652.72x = 346,494,453.20
  5. Step 5: Solve for x
    x = 346,494,453.20/25,652.72
  6. Step 6: Final answer
    x = 13,507.12

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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.