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Finding the Fourth Proportional to 21,689.70, 32,535.68 and 6,108.54

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Solution

The fourth proportional to 21,689.70, 32,535.68 and 6,108.54 is: 9,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,689.70 : 32,535.68 = 6,108.54 : x
  2. Step 2: Convert to fraction form
    21,689.70/32,535.68 = 6,108.54/x
  3. Step 3: Cross multiply
    21,689.70x = 32,535.68 × 6,108.54
  4. Step 4: Simplify right side
    21,689.70x = 198,745,502.71
  5. Step 5: Solve for x
    x = 198,745,502.71/21,689.70
  6. Step 6: Final answer
    x = 9,163.13

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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.