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Finding the Fourth Proportional to 24,533.88, 33,861.17 and 14,461.72

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Solution

The fourth proportional to 24,533.88, 33,861.17 and 14,461.72 is: 19,959.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,533.88 : 33,861.17 = 14,461.72 : x
  2. Step 2: Convert to fraction form
    24,533.88/33,861.17 = 14,461.72/x
  3. Step 3: Cross multiply
    24,533.88x = 33,861.17 × 14,461.72
  4. Step 4: Simplify right side
    24,533.88x = 489,690,759.41
  5. Step 5: Solve for x
    x = 489,690,759.41/24,533.88
  6. Step 6: Final answer
    x = 19,959.78

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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.