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Finding the Fourth Proportional to 26,562.24, 39,834.06 and 7,837.31

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Solution

The fourth proportional to 26,562.24, 39,834.06 and 7,837.31 is: 11,753.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,562.24 : 39,834.06 = 7,837.31 : x
  2. Step 2: Convert to fraction form
    26,562.24/39,834.06 = 7,837.31/x
  3. Step 3: Cross multiply
    26,562.24x = 39,834.06 × 7,837.31
  4. Step 4: Simplify right side
    26,562.24x = 312,191,677.61
  5. Step 5: Solve for x
    x = 312,191,677.61/26,562.24
  6. Step 6: Final answer
    x = 11,753.21

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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.