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Finding the Fourth Proportional to 21,034.96, 31,545.61 and 6,991.21

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Solution

The fourth proportional to 21,034.96, 31,545.61 and 6,991.21 is: 10,484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,034.96 : 31,545.61 = 6,991.21 : x
  2. Step 2: Convert to fraction form
    21,034.96/31,545.61 = 6,991.21/x
  3. Step 3: Cross multiply
    21,034.96x = 31,545.61 × 6,991.21
  4. Step 4: Simplify right side
    21,034.96x = 220,541,887.75
  5. Step 5: Solve for x
    x = 220,541,887.75/21,034.96
  6. Step 6: Final answer
    x = 10,484.54

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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.