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Finding the Fourth Proportional to 15,131.16, 22,697.46 and 4,743

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Solution

The fourth proportional to 15,131.16, 22,697.46 and 4,743 is: 7,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,131.16 : 22,697.46 = 4,743 : x
  2. Step 2: Convert to fraction form
    15,131.16/22,697.46 = 4,743/x
  3. Step 3: Cross multiply
    15,131.16x = 22,697.46 × 4,743
  4. Step 4: Simplify right side
    15,131.16x = 107,654,052.78
  5. Step 5: Solve for x
    x = 107,654,052.78/15,131.16
  6. Step 6: Final answer
    x = 7,114.73

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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.