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Finding the Fourth Proportional to 27,777.78, 38,333.10 and 15,202.50

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Solution

The fourth proportional to 27,777.78, 38,333.10 and 15,202.50 is: 20,979.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,777.78 : 38,333.10 = 15,202.50 : x
  2. Step 2: Convert to fraction form
    27,777.78/38,333.10 = 15,202.50/x
  3. Step 3: Cross multiply
    27,777.78x = 38,333.10 × 15,202.50
  4. Step 4: Simplify right side
    27,777.78x = 582,758,952.75
  5. Step 5: Solve for x
    x = 582,758,952.75/27,777.78
  6. Step 6: Final answer
    x = 20,979.32

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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.