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Finding the Fourth Proportional to 27,649.86, 38,157.82 and 15,715.20

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Solution

The fourth proportional to 27,649.86, 38,157.82 and 15,715.20 is: 21,687.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.86 : 38,157.82 = 15,715.20 : x
  2. Step 2: Convert to fraction form
    27,649.86/38,157.82 = 15,715.20/x
  3. Step 3: Cross multiply
    27,649.86x = 38,157.82 × 15,715.20
  4. Step 4: Simplify right side
    27,649.86x = 599,657,772.86
  5. Step 5: Solve for x
    x = 599,657,772.86/27,649.86
  6. Step 6: Final answer
    x = 21,687.55

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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.