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Finding the Fourth Proportional to 15,471.14, 23,201.84 and 6,697.22

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Solution

The fourth proportional to 15,471.14, 23,201.84 and 6,697.22 is: 10,043.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.14 : 23,201.84 = 6,697.22 : x
  2. Step 2: Convert to fraction form
    15,471.14/23,201.84 = 6,697.22/x
  3. Step 3: Cross multiply
    15,471.14x = 23,201.84 × 6,697.22
  4. Step 4: Simplify right side
    15,471.14x = 155,387,727.62
  5. Step 5: Solve for x
    x = 155,387,727.62/15,471.14
  6. Step 6: Final answer
    x = 10,043.72

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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.