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Finding the Fourth Proportional to 27,781.50, 38,338.74 and 15,206.52

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Solution

The fourth proportional to 27,781.50, 38,338.74 and 15,206.52 is: 20,985.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781.50 : 38,338.74 = 15,206.52 : x
  2. Step 2: Convert to fraction form
    27,781.50/38,338.74 = 15,206.52/x
  3. Step 3: Cross multiply
    27,781.50x = 38,338.74 × 15,206.52
  4. Step 4: Simplify right side
    27,781.50x = 582,998,816.58
  5. Step 5: Solve for x
    x = 582,998,816.58/27,781.50
  6. Step 6: Final answer
    x = 20,985.15

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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.