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Finding the Fourth Proportional to 13,458.32, 20,188.17 and 4,097.61

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Solution

The fourth proportional to 13,458.32, 20,188.17 and 4,097.61 is: 6,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458.32 : 20,188.17 = 4,097.61 : x
  2. Step 2: Convert to fraction form
    13,458.32/20,188.17 = 4,097.61/x
  3. Step 3: Cross multiply
    13,458.32x = 20,188.17 × 4,097.61
  4. Step 4: Simplify right side
    13,458.32x = 82,723,247.27
  5. Step 5: Solve for x
    x = 82,723,247.27/13,458.32
  6. Step 6: Final answer
    x = 6,146.63

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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.