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Finding the Fourth Proportional to 15,930.48, 21,984.80 and 8,857

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Solution

The fourth proportional to 15,930.48, 21,984.80 and 8,857 is: 12,223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930.48 : 21,984.80 = 8,857 : x
  2. Step 2: Convert to fraction form
    15,930.48/21,984.80 = 8,857/x
  3. Step 3: Cross multiply
    15,930.48x = 21,984.80 × 8,857
  4. Step 4: Simplify right side
    15,930.48x = 194,719,373.60
  5. Step 5: Solve for x
    x = 194,719,373.60/15,930.48
  6. Step 6: Final answer
    x = 12,223.07

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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.