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Finding the Fourth Proportional to 13,470.42, 20,204.07 and 5,150.25

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Solution

The fourth proportional to 13,470.42, 20,204.07 and 5,150.25 is: 7,724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.42 : 20,204.07 = 5,150.25 : x
  2. Step 2: Convert to fraction form
    13,470.42/20,204.07 = 5,150.25/x
  3. Step 3: Cross multiply
    13,470.42x = 20,204.07 × 5,150.25
  4. Step 4: Simplify right side
    13,470.42x = 104,056,011.52
  5. Step 5: Solve for x
    x = 104,056,011.52/13,470.42
  6. Step 6: Final answer
    x = 7,724.78

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