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Finding the Fourth Proportional to 26,036.20, 39,050.34 and 8,506

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Solution

The fourth proportional to 26,036.20, 39,050.34 and 8,506 is: 12,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,036.20 : 39,050.34 = 8,506 : x
  2. Step 2: Convert to fraction form
    26,036.20/39,050.34 = 8,506/x
  3. Step 3: Cross multiply
    26,036.20x = 39,050.34 × 8,506
  4. Step 4: Simplify right side
    26,036.20x = 332,162,192.04
  5. Step 5: Solve for x
    x = 332,162,192.04/26,036.20
  6. Step 6: Final answer
    x = 12,757.71

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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.