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Finding the Fourth Proportional to 27,640.84, 38,150.52 and 17,567.32

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Solution

The fourth proportional to 27,640.84, 38,150.52 and 17,567.32 is: 24,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,640.84 : 38,150.52 = 17,567.32 : x
  2. Step 2: Convert to fraction form
    27,640.84/38,150.52 = 17,567.32/x
  3. Step 3: Cross multiply
    27,640.84x = 38,150.52 × 17,567.32
  4. Step 4: Simplify right side
    27,640.84x = 670,202,393.01
  5. Step 5: Solve for x
    x = 670,202,393.01/27,640.84
  6. Step 6: Final answer
    x = 24,246.82

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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.