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Finding the Fourth Proportional to 13,023.36, 19,535.97 and 6,447.78

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Solution

The fourth proportional to 13,023.36, 19,535.97 and 6,447.78 is: 9,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.36 : 19,535.97 = 6,447.78 : x
  2. Step 2: Convert to fraction form
    13,023.36/19,535.97 = 6,447.78/x
  3. Step 3: Cross multiply
    13,023.36x = 19,535.97 × 6,447.78
  4. Step 4: Simplify right side
    13,023.36x = 125,963,636.65
  5. Step 5: Solve for x
    x = 125,963,636.65/13,023.36
  6. Step 6: Final answer
    x = 9,672.13

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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.