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Finding the Fourth Proportional to 27,547.34, 38,018.57 and 16,369.34

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Solution

The fourth proportional to 27,547.34, 38,018.57 and 16,369.34 is: 22,591.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,547.34 : 38,018.57 = 16,369.34 : x
  2. Step 2: Convert to fraction form
    27,547.34/38,018.57 = 16,369.34/x
  3. Step 3: Cross multiply
    27,547.34x = 38,018.57 × 16,369.34
  4. Step 4: Simplify right side
    27,547.34x = 622,338,626.70
  5. Step 5: Solve for x
    x = 622,338,626.70/27,547.34
  6. Step 6: Final answer
    x = 22,591.61

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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.