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Finding the Fourth Proportional to 21,109.29, 31,636.46 and 8,614.65

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Solution

The fourth proportional to 21,109.29, 31,636.46 and 8,614.65 is: 12,910.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,109.29 : 31,636.46 = 8,614.65 : x
  2. Step 2: Convert to fraction form
    21,109.29/31,636.46 = 8,614.65/x
  3. Step 3: Cross multiply
    21,109.29x = 31,636.46 × 8,614.65
  4. Step 4: Simplify right side
    21,109.29x = 272,536,987.07
  5. Step 5: Solve for x
    x = 272,536,987.07/21,109.29
  6. Step 6: Final answer
    x = 12,910.76

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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.