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Finding the Fourth Proportional to 24,251.64, 33,462.27 and 14,178.15

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Solution

The fourth proportional to 24,251.64, 33,462.27 and 14,178.15 is: 19,562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,251.64 : 33,462.27 = 14,178.15 : x
  2. Step 2: Convert to fraction form
    24,251.64/33,462.27 = 14,178.15/x
  3. Step 3: Cross multiply
    24,251.64x = 33,462.27 × 14,178.15
  4. Step 4: Simplify right side
    24,251.64x = 474,433,083.40
  5. Step 5: Solve for x
    x = 474,433,083.40/24,251.64
  6. Step 6: Final answer
    x = 19,562.93

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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.