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Finding the Fourth Proportional to 21,761.12, 32,641.67 and 14,363.84

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Solution

The fourth proportional to 21,761.12, 32,641.67 and 14,363.84 is: 21,545.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,761.12 : 32,641.67 = 14,363.84 : x
  2. Step 2: Convert to fraction form
    21,761.12/32,641.67 = 14,363.84/x
  3. Step 3: Cross multiply
    21,761.12x = 32,641.67 × 14,363.84
  4. Step 4: Simplify right side
    21,761.12x = 468,859,939.43
  5. Step 5: Solve for x
    x = 468,859,939.43/21,761.12
  6. Step 6: Final answer
    x = 21,545.77

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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.