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Finding the Fourth Proportional to 27,780.90, 38,336.13 and 15,203.22

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Solution

The fourth proportional to 27,780.90, 38,336.13 and 15,203.22 is: 20,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780.90 : 38,336.13 = 15,203.22 : x
  2. Step 2: Convert to fraction form
    27,780.90/38,336.13 = 15,203.22/x
  3. Step 3: Cross multiply
    27,780.90x = 38,336.13 × 15,203.22
  4. Step 4: Simplify right side
    27,780.90x = 582,832,618.34
  5. Step 5: Solve for x
    x = 582,832,618.34/27,780.90
  6. Step 6: Final answer
    x = 20,979.62

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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.