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Finding the Fourth Proportional to 15,470.63, 23,202.48 and 7,149.44

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Solution

The fourth proportional to 15,470.63, 23,202.48 and 7,149.44 is: 10,722.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,470.63 : 23,202.48 = 7,149.44 : x
  2. Step 2: Convert to fraction form
    15,470.63/23,202.48 = 7,149.44/x
  3. Step 3: Cross multiply
    15,470.63x = 23,202.48 × 7,149.44
  4. Step 4: Simplify right side
    15,470.63x = 165,884,697.85
  5. Step 5: Solve for x
    x = 165,884,697.85/15,470.63
  6. Step 6: Final answer
    x = 10,722.55

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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.