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Finding the Fourth Proportional to 34,471.68, 51,691.23 and 12,284.70

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Solution

The fourth proportional to 34,471.68, 51,691.23 and 12,284.70 is: 18,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,471.68 : 51,691.23 = 12,284.70 : x
  2. Step 2: Convert to fraction form
    34,471.68/51,691.23 = 12,284.70/x
  3. Step 3: Cross multiply
    34,471.68x = 51,691.23 × 12,284.70
  4. Step 4: Simplify right side
    34,471.68x = 635,011,253.18
  5. Step 5: Solve for x
    x = 635,011,253.18/34,471.68
  6. Step 6: Final answer
    x = 18,421.24

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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.