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Finding the Fourth Proportional to 20,560.16, 30,830.51 and 9,463.56

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Solution

The fourth proportional to 20,560.16, 30,830.51 and 9,463.56 is: 14,190.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,560.16 : 30,830.51 = 9,463.56 : x
  2. Step 2: Convert to fraction form
    20,560.16/30,830.51 = 9,463.56/x
  3. Step 3: Cross multiply
    20,560.16x = 30,830.51 × 9,463.56
  4. Step 4: Simplify right side
    20,560.16x = 291,766,333.90
  5. Step 5: Solve for x
    x = 291,766,333.90/20,560.16
  6. Step 6: Final answer
    x = 14,190.86

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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.