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Finding the Fourth Proportional to 13,023.60, 19,545.87 and 6,785.47

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Solution

The fourth proportional to 13,023.60, 19,545.87 and 6,785.47 is: 10,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.60 : 19,545.87 = 6,785.47 : x
  2. Step 2: Convert to fraction form
    13,023.60/19,545.87 = 6,785.47/x
  3. Step 3: Cross multiply
    13,023.60x = 19,545.87 × 6,785.47
  4. Step 4: Simplify right side
    13,023.60x = 132,627,880.58
  5. Step 5: Solve for x
    x = 132,627,880.58/13,023.60
  6. Step 6: Final answer
    x = 10,183.66

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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.