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Finding the Fourth Proportional to 27,639.36, 38,142.36 and 15,702.72

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Solution

The fourth proportional to 27,639.36, 38,142.36 and 15,702.72 is: 21,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,639.36 : 38,142.36 = 15,702.72 : x
  2. Step 2: Convert to fraction form
    27,639.36/38,142.36 = 15,702.72/x
  3. Step 3: Cross multiply
    27,639.36x = 38,142.36 × 15,702.72
  4. Step 4: Simplify right side
    27,639.36x = 598,938,799.22
  5. Step 5: Solve for x
    x = 598,938,799.22/27,639.36
  6. Step 6: Final answer
    x = 21,669.78

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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.