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Finding the Fourth Proportional to 25,158.96, 37,744.92 and 9,568.08

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Solution

The fourth proportional to 25,158.96, 37,744.92 and 9,568.08 is: 14,354.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,158.96 : 37,744.92 = 9,568.08 : x
  2. Step 2: Convert to fraction form
    25,158.96/37,744.92 = 9,568.08/x
  3. Step 3: Cross multiply
    25,158.96x = 37,744.92 × 9,568.08
  4. Step 4: Simplify right side
    25,158.96x = 361,146,414.15
  5. Step 5: Solve for x
    x = 361,146,414.15/25,158.96
  6. Step 6: Final answer
    x = 14,354.58

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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.