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Finding the Fourth Proportional to 24,251.25, 33,461.69 and 14,177.72

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Solution

The fourth proportional to 24,251.25, 33,461.69 and 14,177.72 is: 19,562.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,251.25 : 33,461.69 = 14,177.72 : x
  2. Step 2: Convert to fraction form
    24,251.25/33,461.69 = 14,177.72/x
  3. Step 3: Cross multiply
    24,251.25x = 33,461.69 × 14,177.72
  4. Step 4: Simplify right side
    24,251.25x = 474,410,233.35
  5. Step 5: Solve for x
    x = 474,410,233.35/24,251.25
  6. Step 6: Final answer
    x = 19,562.30

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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.