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Finding the Fourth Proportional to 15,132.78, 20,884.16 and 8,419.59

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Solution

The fourth proportional to 15,132.78, 20,884.16 and 8,419.59 is: 11,619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,132.78 : 20,884.16 = 8,419.59 : x
  2. Step 2: Convert to fraction form
    15,132.78/20,884.16 = 8,419.59/x
  3. Step 3: Cross multiply
    15,132.78x = 20,884.16 × 8,419.59
  4. Step 4: Simplify right side
    15,132.78x = 175,836,085.74
  5. Step 5: Solve for x
    x = 175,836,085.74/15,132.78
  6. Step 6: Final answer
    x = 11,619.55

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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.