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Finding the Fourth Proportional to 23,233.32, 34,763.86 and 13,878.42

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Solution

The fourth proportional to 23,233.32, 34,763.86 and 13,878.42 is: 20,766.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,233.32 : 34,763.86 = 13,878.42 : x
  2. Step 2: Convert to fraction form
    23,233.32/34,763.86 = 13,878.42/x
  3. Step 3: Cross multiply
    23,233.32x = 34,763.86 × 13,878.42
  4. Step 4: Simplify right side
    23,233.32x = 482,467,449.90
  5. Step 5: Solve for x
    x = 482,467,449.90/23,233.32
  6. Step 6: Final answer
    x = 20,766.19

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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.