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Finding the Fourth Proportional to 27,638.94, 38,142.63 and 15,702.06

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Solution

The fourth proportional to 27,638.94, 38,142.63 and 15,702.06 is: 21,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.94 : 38,142.63 = 15,702.06 : x
  2. Step 2: Convert to fraction form
    27,638.94/38,142.63 = 15,702.06/x
  3. Step 3: Cross multiply
    27,638.94x = 38,142.63 × 15,702.06
  4. Step 4: Simplify right side
    27,638.94x = 598,917,864.82
  5. Step 5: Solve for x
    x = 598,917,864.82/27,638.94
  6. Step 6: Final answer
    x = 21,669.35

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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.