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Finding the Fourth Proportional to 21,269.67, 31,909.12 and 6,478.20

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Solution

The fourth proportional to 21,269.67, 31,909.12 and 6,478.20 is: 9,718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,269.67 : 31,909.12 = 6,478.20 : x
  2. Step 2: Convert to fraction form
    21,269.67/31,909.12 = 6,478.20/x
  3. Step 3: Cross multiply
    21,269.67x = 31,909.12 × 6,478.20
  4. Step 4: Simplify right side
    21,269.67x = 206,713,644.99
  5. Step 5: Solve for x
    x = 206,713,644.99/21,269.67
  6. Step 6: Final answer
    x = 9,718.70

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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.