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Finding the Fourth Proportional to 20,570.31, 30,832.13 and 9,454.02

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Solution

The fourth proportional to 20,570.31, 30,832.13 and 9,454.02 is: 14,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570.31 : 30,832.13 = 9,454.02 : x
  2. Step 2: Convert to fraction form
    20,570.31/30,832.13 = 9,454.02/x
  3. Step 3: Cross multiply
    20,570.31x = 30,832.13 × 9,454.02
  4. Step 4: Simplify right side
    20,570.31x = 291,487,372.23
  5. Step 5: Solve for x
    x = 291,487,372.23/20,570.31
  6. Step 6: Final answer
    x = 14,170.30

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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.