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Finding the Fourth Proportional to 10,229.30, 15,311.55 and 8,026.10

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Solution

The fourth proportional to 10,229.30, 15,311.55 and 8,026.10 is: 12,013.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.30 : 15,311.55 = 8,026.10 : x
  2. Step 2: Convert to fraction form
    10,229.30/15,311.55 = 8,026.10/x
  3. Step 3: Cross multiply
    10,229.30x = 15,311.55 × 8,026.10
  4. Step 4: Simplify right side
    10,229.30x = 122,892,031.46
  5. Step 5: Solve for x
    x = 122,892,031.46/10,229.30
  6. Step 6: Final answer
    x = 12,013.73

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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.