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Finding the Fourth Proportional to 25,512.57, 35,207.19 and 14,181.90

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Solution

The fourth proportional to 25,512.57, 35,207.19 and 14,181.90 is: 19,570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,512.57 : 35,207.19 = 14,181.90 : x
  2. Step 2: Convert to fraction form
    25,512.57/35,207.19 = 14,181.90/x
  3. Step 3: Cross multiply
    25,512.57x = 35,207.19 × 14,181.90
  4. Step 4: Simplify right side
    25,512.57x = 499,304,847.86
  5. Step 5: Solve for x
    x = 499,304,847.86/25,512.57
  6. Step 6: Final answer
    x = 19,570.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.