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Finding the Fourth Proportional to 24,187.72, 36,278.34 and 9,395.20

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Solution

The fourth proportional to 24,187.72, 36,278.34 and 9,395.20 is: 14,091.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,187.72 : 36,278.34 = 9,395.20 : x
  2. Step 2: Convert to fraction form
    24,187.72/36,278.34 = 9,395.20/x
  3. Step 3: Cross multiply
    24,187.72x = 36,278.34 × 9,395.20
  4. Step 4: Simplify right side
    24,187.72x = 340,842,259.97
  5. Step 5: Solve for x
    x = 340,842,259.97/24,187.72
  6. Step 6: Final answer
    x = 14,091.54

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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.