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Finding the Fourth Proportional to 20,165.31, 30,214.08 and 10,156.74

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Solution

The fourth proportional to 20,165.31, 30,214.08 and 10,156.74 is: 15,218.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.31 : 30,214.08 = 10,156.74 : x
  2. Step 2: Convert to fraction form
    20,165.31/30,214.08 = 10,156.74/x
  3. Step 3: Cross multiply
    20,165.31x = 30,214.08 × 10,156.74
  4. Step 4: Simplify right side
    20,165.31x = 306,876,554.90
  5. Step 5: Solve for x
    x = 306,876,554.90/20,165.31
  6. Step 6: Final answer
    x = 15,218.04

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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.