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Finding the Fourth Proportional to 23,878.42, 35,770.82 and 13,862.16

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Solution

The fourth proportional to 23,878.42, 35,770.82 and 13,862.16 is: 20,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878.42 : 35,770.82 = 13,862.16 : x
  2. Step 2: Convert to fraction form
    23,878.42/35,770.82 = 13,862.16/x
  3. Step 3: Cross multiply
    23,878.42x = 35,770.82 × 13,862.16
  4. Step 4: Simplify right side
    23,878.42x = 495,860,651.32
  5. Step 5: Solve for x
    x = 495,860,651.32/23,878.42
  6. Step 6: Final answer
    x = 20,766.06

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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.