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Finding the Fourth Proportional to 21,229.07, 31,843.65 and 5,646.70

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Solution

The fourth proportional to 21,229.07, 31,843.65 and 5,646.70 is: 8,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,229.07 : 31,843.65 = 5,646.70 : x
  2. Step 2: Convert to fraction form
    21,229.07/31,843.65 = 5,646.70/x
  3. Step 3: Cross multiply
    21,229.07x = 31,843.65 × 5,646.70
  4. Step 4: Simplify right side
    21,229.07x = 179,811,379.24
  5. Step 5: Solve for x
    x = 179,811,379.24/21,229.07
  6. Step 6: Final answer
    x = 8,470.05

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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.