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Finding the Fourth Proportional to 25,772.90, 38,665.43 and 8,242.88

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Solution

The fourth proportional to 25,772.90, 38,665.43 and 8,242.88 is: 12,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,772.90 : 38,665.43 = 8,242.88 : x
  2. Step 2: Convert to fraction form
    25,772.90/38,665.43 = 8,242.88/x
  3. Step 3: Cross multiply
    25,772.90x = 38,665.43 × 8,242.88
  4. Step 4: Simplify right side
    25,772.90x = 318,714,458.42
  5. Step 5: Solve for x
    x = 318,714,458.42/25,772.90
  6. Step 6: Final answer
    x = 12,366.26

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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.