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Finding the Fourth Proportional to 13,023.90, 19,522.89 and 7,470.54

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Solution

The fourth proportional to 13,023.90, 19,522.89 and 7,470.54 is: 11,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.90 : 19,522.89 = 7,470.54 : x
  2. Step 2: Convert to fraction form
    13,023.90/19,522.89 = 7,470.54/x
  3. Step 3: Cross multiply
    13,023.90x = 19,522.89 × 7,470.54
  4. Step 4: Simplify right side
    13,023.90x = 145,846,530.66
  5. Step 5: Solve for x
    x = 145,846,530.66/13,023.90
  6. Step 6: Final answer
    x = 11,198.38

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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.