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Finding the Fourth Proportional to 24,265.74, 36,376.94 and 9,471.22

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Solution

The fourth proportional to 24,265.74, 36,376.94 and 9,471.22 is: 14,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,265.74 : 36,376.94 = 9,471.22 : x
  2. Step 2: Convert to fraction form
    24,265.74/36,376.94 = 9,471.22/x
  3. Step 3: Cross multiply
    24,265.74x = 36,376.94 × 9,471.22
  4. Step 4: Simplify right side
    24,265.74x = 344,534,001.67
  5. Step 5: Solve for x
    x = 344,534,001.67/24,265.74
  6. Step 6: Final answer
    x = 14,198.37

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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.