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Finding the Fourth Proportional to 24,456.30, 33,757.71 and 14,384.22

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Solution

The fourth proportional to 24,456.30, 33,757.71 and 14,384.22 is: 19,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,456.30 : 33,757.71 = 14,384.22 : x
  2. Step 2: Convert to fraction form
    24,456.30/33,757.71 = 14,384.22/x
  3. Step 3: Cross multiply
    24,456.30x = 33,757.71 × 14,384.22
  4. Step 4: Simplify right side
    24,456.30x = 485,578,327.34
  5. Step 5: Solve for x
    x = 485,578,327.34/24,456.30
  6. Step 6: Final answer
    x = 19,854.94

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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.