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Finding the Fourth Proportional to 24,231.26, 36,332.58 and 9,239.60

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Solution

The fourth proportional to 24,231.26, 36,332.58 and 9,239.60 is: 13,853.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231.26 : 36,332.58 = 9,239.60 : x
  2. Step 2: Convert to fraction form
    24,231.26/36,332.58 = 9,239.60/x
  3. Step 3: Cross multiply
    24,231.26x = 36,332.58 × 9,239.60
  4. Step 4: Simplify right side
    24,231.26x = 335,698,506.17
  5. Step 5: Solve for x
    x = 335,698,506.17/24,231.26
  6. Step 6: Final answer
    x = 13,853.94

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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.