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Finding the Fourth Proportional to 24,257.50, 33,454.72 and 14,695.18

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Solution

The fourth proportional to 24,257.50, 33,454.72 and 14,695.18 is: 20,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257.50 : 33,454.72 = 14,695.18 : x
  2. Step 2: Convert to fraction form
    24,257.50/33,454.72 = 14,695.18/x
  3. Step 3: Cross multiply
    24,257.50x = 33,454.72 × 14,695.18
  4. Step 4: Simplify right side
    24,257.50x = 491,623,132.25
  5. Step 5: Solve for x
    x = 491,623,132.25/24,257.50
  6. Step 6: Final answer
    x = 20,266.85

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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.