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Finding the Fourth Proportional to 26,344.65, 39,517.05 and 9,697.50

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Solution

The fourth proportional to 26,344.65, 39,517.05 and 9,697.50 is: 14,546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,344.65 : 39,517.05 = 9,697.50 : x
  2. Step 2: Convert to fraction form
    26,344.65/39,517.05 = 9,697.50/x
  3. Step 3: Cross multiply
    26,344.65x = 39,517.05 × 9,697.50
  4. Step 4: Simplify right side
    26,344.65x = 383,216,592.38
  5. Step 5: Solve for x
    x = 383,216,592.38/26,344.65
  6. Step 6: Final answer
    x = 14,546.28

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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.