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Finding the Fourth Proportional to 27,689.95, 38,211.64 and 15,753.03

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Solution

The fourth proportional to 27,689.95, 38,211.64 and 15,753.03 is: 21,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,689.95 : 38,211.64 = 15,753.03 : x
  2. Step 2: Convert to fraction form
    27,689.95/38,211.64 = 15,753.03/x
  3. Step 3: Cross multiply
    27,689.95x = 38,211.64 × 15,753.03
  4. Step 4: Simplify right side
    27,689.95x = 601,949,111.27
  5. Step 5: Solve for x
    x = 601,949,111.27/27,689.95
  6. Step 6: Final answer
    x = 21,738.90

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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.