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Finding the Fourth Proportional to 13,798.90, 20,690.79 and 5,470.48

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Solution

The fourth proportional to 13,798.90, 20,690.79 and 5,470.48 is: 8,202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.90 : 20,690.79 = 5,470.48 : x
  2. Step 2: Convert to fraction form
    13,798.90/20,690.79 = 5,470.48/x
  3. Step 3: Cross multiply
    13,798.90x = 20,690.79 × 5,470.48
  4. Step 4: Simplify right side
    13,798.90x = 113,188,552.88
  5. Step 5: Solve for x
    x = 113,188,552.88/13,798.90
  6. Step 6: Final answer
    x = 8,202.72

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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.