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Finding the Fourth Proportional to 25,142.80, 37,714.19 and 6,422.87

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Solution

The fourth proportional to 25,142.80, 37,714.19 and 6,422.87 is: 9,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,142.80 : 37,714.19 = 6,422.87 : x
  2. Step 2: Convert to fraction form
    25,142.80/37,714.19 = 6,422.87/x
  3. Step 3: Cross multiply
    25,142.80x = 37,714.19 × 6,422.87
  4. Step 4: Simplify right side
    25,142.80x = 242,233,517.96
  5. Step 5: Solve for x
    x = 242,233,517.96/25,142.80
  6. Step 6: Final answer
    x = 9,634.31

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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.