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Finding the Fourth Proportional to 15,134.67, 20,884.21 and 8,419.22

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Solution

The fourth proportional to 15,134.67, 20,884.21 and 8,419.22 is: 11,617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,134.67 : 20,884.21 = 8,419.22 : x
  2. Step 2: Convert to fraction form
    15,134.67/20,884.21 = 8,419.22/x
  3. Step 3: Cross multiply
    15,134.67x = 20,884.21 × 8,419.22
  4. Step 4: Simplify right side
    15,134.67x = 175,828,758.52
  5. Step 5: Solve for x
    x = 175,828,758.52/15,134.67
  6. Step 6: Final answer
    x = 11,617.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.