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Finding the Fourth Proportional to 17,916.50, 26,878.13 and 8,557.22

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Solution

The fourth proportional to 17,916.50, 26,878.13 and 8,557.22 is: 12,837.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,916.50 : 26,878.13 = 8,557.22 : x
  2. Step 2: Convert to fraction form
    17,916.50/26,878.13 = 8,557.22/x
  3. Step 3: Cross multiply
    17,916.50x = 26,878.13 × 8,557.22
  4. Step 4: Simplify right side
    17,916.50x = 230,002,028.81
  5. Step 5: Solve for x
    x = 230,002,028.81/17,916.50
  6. Step 6: Final answer
    x = 12,837.44

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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.