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Finding the Fourth Proportional to 23,535.33, 35,309.88 and 9,488.13

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Solution

The fourth proportional to 23,535.33, 35,309.88 and 9,488.13 is: 14,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,535.33 : 35,309.88 = 9,488.13 : x
  2. Step 2: Convert to fraction form
    23,535.33/35,309.88 = 9,488.13/x
  3. Step 3: Cross multiply
    23,535.33x = 35,309.88 × 9,488.13
  4. Step 4: Simplify right side
    23,535.33x = 335,024,731.72
  5. Step 5: Solve for x
    x = 335,024,731.72/23,535.33
  6. Step 6: Final answer
    x = 14,234.97

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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.