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Finding the Fourth Proportional to 27,650.16, 38,158.20 and 15,714

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Solution

The fourth proportional to 27,650.16, 38,158.20 and 15,714 is: 21,685.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,650.16 : 38,158.20 = 15,714 : x
  2. Step 2: Convert to fraction form
    27,650.16/38,158.20 = 15,714/x
  3. Step 3: Cross multiply
    27,650.16x = 38,158.20 × 15,714
  4. Step 4: Simplify right side
    27,650.16x = 599,617,954.80
  5. Step 5: Solve for x
    x = 599,617,954.80/27,650.16
  6. Step 6: Final answer
    x = 21,685.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.