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Finding the Fourth Proportional to 24,281.80, 36,422.70 and 13,894.60

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Solution

The fourth proportional to 24,281.80, 36,422.70 and 13,894.60 is: 20,841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,281.80 : 36,422.70 = 13,894.60 : x
  2. Step 2: Convert to fraction form
    24,281.80/36,422.70 = 13,894.60/x
  3. Step 3: Cross multiply
    24,281.80x = 36,422.70 × 13,894.60
  4. Step 4: Simplify right side
    24,281.80x = 506,078,847.42
  5. Step 5: Solve for x
    x = 506,078,847.42/24,281.80
  6. Step 6: Final answer
    x = 20,841.90

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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.