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Finding the Fourth Proportional to 22,929.38, 31,605.96 and 18,076.19

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Solution

The fourth proportional to 22,929.38, 31,605.96 and 18,076.19 is: 24,916.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,929.38 : 31,605.96 = 18,076.19 : x
  2. Step 2: Convert to fraction form
    22,929.38/31,605.96 = 18,076.19/x
  3. Step 3: Cross multiply
    22,929.38x = 31,605.96 × 18,076.19
  4. Step 4: Simplify right side
    22,929.38x = 571,315,338.09
  5. Step 5: Solve for x
    x = 571,315,338.09/22,929.38
  6. Step 6: Final answer
    x = 24,916.30

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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.