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Finding the Fourth Proportional to 13,470.80, 20,227.80 and 9,107.60

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Solution

The fourth proportional to 13,470.80, 20,227.80 and 9,107.60 is: 13,676.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.80 : 20,227.80 = 9,107.60 : x
  2. Step 2: Convert to fraction form
    13,470.80/20,227.80 = 9,107.60/x
  3. Step 3: Cross multiply
    13,470.80x = 20,227.80 × 9,107.60
  4. Step 4: Simplify right side
    13,470.80x = 184,226,711.28
  5. Step 5: Solve for x
    x = 184,226,711.28/13,470.80
  6. Step 6: Final answer
    x = 13,676.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.