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Finding the Fourth Proportional to 26,041.20, 39,057.84 and 8,511

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Solution

The fourth proportional to 26,041.20, 39,057.84 and 8,511 is: 12,765.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,041.20 : 39,057.84 = 8,511 : x
  2. Step 2: Convert to fraction form
    26,041.20/39,057.84 = 8,511/x
  3. Step 3: Cross multiply
    26,041.20x = 39,057.84 × 8,511
  4. Step 4: Simplify right side
    26,041.20x = 332,421,276.24
  5. Step 5: Solve for x
    x = 332,421,276.24/26,041.20
  6. Step 6: Final answer
    x = 12,765.21

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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.