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Finding the Fourth Proportional to 24,033.40, 36,050.67 and 8,238.31

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Solution

The fourth proportional to 24,033.40, 36,050.67 and 8,238.31 is: 12,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,033.40 : 36,050.67 = 8,238.31 : x
  2. Step 2: Convert to fraction form
    24,033.40/36,050.67 = 8,238.31/x
  3. Step 3: Cross multiply
    24,033.40x = 36,050.67 × 8,238.31
  4. Step 4: Simplify right side
    24,033.40x = 296,996,386.91
  5. Step 5: Solve for x
    x = 296,996,386.91/24,033.40
  6. Step 6: Final answer
    x = 12,357.65

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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.