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Finding the Fourth Proportional to 21,074.56, 31,593.21 and 8,605

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Solution

The fourth proportional to 21,074.56, 31,593.21 and 8,605 is: 12,899.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,074.56 : 31,593.21 = 8,605 : x
  2. Step 2: Convert to fraction form
    21,074.56/31,593.21 = 8,605/x
  3. Step 3: Cross multiply
    21,074.56x = 31,593.21 × 8,605
  4. Step 4: Simplify right side
    21,074.56x = 271,859,572.05
  5. Step 5: Solve for x
    x = 271,859,572.05/21,074.56
  6. Step 6: Final answer
    x = 12,899.89

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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.