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Finding the Fourth Proportional to 20,230.29, 27,916.38 and 11,278.29

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Solution

The fourth proportional to 20,230.29, 27,916.38 and 11,278.29 is: 15,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,230.29 : 27,916.38 = 11,278.29 : x
  2. Step 2: Convert to fraction form
    20,230.29/27,916.38 = 11,278.29/x
  3. Step 3: Cross multiply
    20,230.29x = 27,916.38 × 11,278.29
  4. Step 4: Simplify right side
    20,230.29x = 314,849,029.39
  5. Step 5: Solve for x
    x = 314,849,029.39/20,230.29
  6. Step 6: Final answer
    x = 15,563.25

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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.