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Finding the Fourth Proportional to 26,046.78, 39,073.05 and 7,580.22

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Solution

The fourth proportional to 26,046.78, 39,073.05 and 7,580.22 is: 11,371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,046.78 : 39,073.05 = 7,580.22 : x
  2. Step 2: Convert to fraction form
    26,046.78/39,073.05 = 7,580.22/x
  3. Step 3: Cross multiply
    26,046.78x = 39,073.05 × 7,580.22
  4. Step 4: Simplify right side
    26,046.78x = 296,182,315.07
  5. Step 5: Solve for x
    x = 296,182,315.07/26,046.78
  6. Step 6: Final answer
    x = 11,371.17

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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.