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Finding the Fourth Proportional to 26,049.38, 39,075.14 and 7,581.38

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Solution

The fourth proportional to 26,049.38, 39,075.14 and 7,581.38 is: 11,372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,049.38 : 39,075.14 = 7,581.38 : x
  2. Step 2: Convert to fraction form
    26,049.38/39,075.14 = 7,581.38/x
  3. Step 3: Cross multiply
    26,049.38x = 39,075.14 × 7,581.38
  4. Step 4: Simplify right side
    26,049.38x = 296,243,308.47
  5. Step 5: Solve for x
    x = 296,243,308.47/26,049.38
  6. Step 6: Final answer
    x = 11,372.38

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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.