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Finding the Fourth Proportional to 27,961, 38,586.18 and 15,386.20

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Solution

The fourth proportional to 27,961, 38,586.18 and 15,386.20 is: 21,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,961 : 38,586.18 = 15,386.20 : x
  2. Step 2: Convert to fraction form
    27,961/38,586.18 = 15,386.20/x
  3. Step 3: Cross multiply
    27,961x = 38,586.18 × 15,386.20
  4. Step 4: Simplify right side
    27,961x = 593,694,682.72
  5. Step 5: Solve for x
    x = 593,694,682.72/27,961
  6. Step 6: Final answer
    x = 21,232.96

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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.