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Finding the Fourth Proportional to 24,472.75, 33,769.53 and 14,398.98

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Solution

The fourth proportional to 24,472.75, 33,769.53 and 14,398.98 is: 19,868.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.75 : 33,769.53 = 14,398.98 : x
  2. Step 2: Convert to fraction form
    24,472.75/33,769.53 = 14,398.98/x
  3. Step 3: Cross multiply
    24,472.75x = 33,769.53 × 14,398.98
  4. Step 4: Simplify right side
    24,472.75x = 486,246,787.08
  5. Step 5: Solve for x
    x = 486,246,787.08/24,472.75
  6. Step 6: Final answer
    x = 19,868.91

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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.