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Finding the Fourth Proportional to 24,333.74, 36,515.97 and 9,542.25

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Solution

The fourth proportional to 24,333.74, 36,515.97 and 9,542.25 is: 14,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,333.74 : 36,515.97 = 9,542.25 : x
  2. Step 2: Convert to fraction form
    24,333.74/36,515.97 = 9,542.25/x
  3. Step 3: Cross multiply
    24,333.74x = 36,515.97 × 9,542.25
  4. Step 4: Simplify right side
    24,333.74x = 348,444,514.73
  5. Step 5: Solve for x
    x = 348,444,514.73/24,333.74
  6. Step 6: Final answer
    x = 14,319.40

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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.