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Finding the Fourth Proportional to 13,023.45, 19,520.19 and 6,453.95

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Solution

The fourth proportional to 13,023.45, 19,520.19 and 6,453.95 is: 9,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.45 : 19,520.19 = 6,453.95 : x
  2. Step 2: Convert to fraction form
    13,023.45/19,520.19 = 6,453.95/x
  3. Step 3: Cross multiply
    13,023.45x = 19,520.19 × 6,453.95
  4. Step 4: Simplify right side
    13,023.45x = 125,982,232.65
  5. Step 5: Solve for x
    x = 125,982,232.65/13,023.45
  6. Step 6: Final answer
    x = 9,673.49

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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.