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Finding the Fourth Proportional to 26,691.84, 40,024.14 and 8,916.09

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Solution

The fourth proportional to 26,691.84, 40,024.14 and 8,916.09 is: 13,369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,691.84 : 40,024.14 = 8,916.09 : x
  2. Step 2: Convert to fraction form
    26,691.84/40,024.14 = 8,916.09/x
  3. Step 3: Cross multiply
    26,691.84x = 40,024.14 × 8,916.09
  4. Step 4: Simplify right side
    26,691.84x = 356,858,834.41
  5. Step 5: Solve for x
    x = 356,858,834.41/26,691.84
  6. Step 6: Final answer
    x = 13,369.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.