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Finding the Fourth Proportional to 15,697.68, 23,546.24 and 6,337.46

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Solution

The fourth proportional to 15,697.68, 23,546.24 and 6,337.46 is: 9,506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.68 : 23,546.24 = 6,337.46 : x
  2. Step 2: Convert to fraction form
    15,697.68/23,546.24 = 6,337.46/x
  3. Step 3: Cross multiply
    15,697.68x = 23,546.24 × 6,337.46
  4. Step 4: Simplify right side
    15,697.68x = 149,223,354.15
  5. Step 5: Solve for x
    x = 149,223,354.15/15,697.68
  6. Step 6: Final answer
    x = 9,506.08

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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.