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Finding the Fourth Proportional to 14,471.89, 21,707.84 and 5,706.56

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Solution

The fourth proportional to 14,471.89, 21,707.84 and 5,706.56 is: 8,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.89 : 21,707.84 = 5,706.56 : x
  2. Step 2: Convert to fraction form
    14,471.89/21,707.84 = 5,706.56/x
  3. Step 3: Cross multiply
    14,471.89x = 21,707.84 × 5,706.56
  4. Step 4: Simplify right side
    14,471.89x = 123,877,159.97
  5. Step 5: Solve for x
    x = 123,877,159.97/14,471.89
  6. Step 6: Final answer
    x = 8,559.85

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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.