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Finding the Fourth Proportional to 15,697.92, 23,546.88 and 5,306.88

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Solution

The fourth proportional to 15,697.92, 23,546.88 and 5,306.88 is: 7,960.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.92 : 23,546.88 = 5,306.88 : x
  2. Step 2: Convert to fraction form
    15,697.92/23,546.88 = 5,306.88/x
  3. Step 3: Cross multiply
    15,697.92x = 23,546.88 × 5,306.88
  4. Step 4: Simplify right side
    15,697.92x = 124,960,466.53
  5. Step 5: Solve for x
    x = 124,960,466.53/15,697.92
  6. Step 6: Final answer
    x = 7,960.32

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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.