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Finding the Fourth Proportional to 24,178.88, 36,273.56 and 9,947.43

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Solution

The fourth proportional to 24,178.88, 36,273.56 and 9,947.43 is: 14,923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178.88 : 36,273.56 = 9,947.43 : x
  2. Step 2: Convert to fraction form
    24,178.88/36,273.56 = 9,947.43/x
  3. Step 3: Cross multiply
    24,178.88x = 36,273.56 × 9,947.43
  4. Step 4: Simplify right side
    24,178.88x = 360,828,649.21
  5. Step 5: Solve for x
    x = 360,828,649.21/24,178.88
  6. Step 6: Final answer
    x = 14,923.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.