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Finding the Fourth Proportional to 20,280.78, 27,984.71 and 11,327.15

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Solution

The fourth proportional to 20,280.78, 27,984.71 and 11,327.15 is: 15,629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,280.78 : 27,984.71 = 11,327.15 : x
  2. Step 2: Convert to fraction form
    20,280.78/27,984.71 = 11,327.15/x
  3. Step 3: Cross multiply
    20,280.78x = 27,984.71 × 11,327.15
  4. Step 4: Simplify right side
    20,280.78x = 316,986,811.32
  5. Step 5: Solve for x
    x = 316,986,811.32/20,280.78
  6. Step 6: Final answer
    x = 15,629.91

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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.