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Finding the Fourth Proportional to 12,581.65, 17,363.09 and 6,916.63

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Solution

The fourth proportional to 12,581.65, 17,363.09 and 6,916.63 is: 9,545.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581.65 : 17,363.09 = 6,916.63 : x
  2. Step 2: Convert to fraction form
    12,581.65/17,363.09 = 6,916.63/x
  3. Step 3: Cross multiply
    12,581.65x = 17,363.09 × 6,916.63
  4. Step 4: Simplify right side
    12,581.65x = 120,094,105.38
  5. Step 5: Solve for x
    x = 120,094,105.38/12,581.65
  6. Step 6: Final answer
    x = 9,545.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.