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Finding the Fourth Proportional to 21,723.76, 32,586 and 6,141.76

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Solution

The fourth proportional to 21,723.76, 32,586 and 6,141.76 is: 9,212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,723.76 : 32,586 = 6,141.76 : x
  2. Step 2: Convert to fraction form
    21,723.76/32,586 = 6,141.76/x
  3. Step 3: Cross multiply
    21,723.76x = 32,586 × 6,141.76
  4. Step 4: Simplify right side
    21,723.76x = 200,135,391.36
  5. Step 5: Solve for x
    x = 200,135,391.36/21,723.76
  6. Step 6: Final answer
    x = 9,212.74

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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.