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Finding the Fourth Proportional to 25,874.88, 38,812.32 and 20,656.32

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Solution

The fourth proportional to 25,874.88, 38,812.32 and 20,656.32 is: 30,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,874.88 : 38,812.32 = 20,656.32 : x
  2. Step 2: Convert to fraction form
    25,874.88/38,812.32 = 20,656.32/x
  3. Step 3: Cross multiply
    25,874.88x = 38,812.32 × 20,656.32
  4. Step 4: Simplify right side
    25,874.88x = 801,719,701.86
  5. Step 5: Solve for x
    x = 801,719,701.86/25,874.88
  6. Step 6: Final answer
    x = 30,984.48

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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.