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Finding the Fourth Proportional to 13,559.48, 20,345.42 and 8,023.68

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Solution

The fourth proportional to 13,559.48, 20,345.42 and 8,023.68 is: 12,039.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,559.48 : 20,345.42 = 8,023.68 : x
  2. Step 2: Convert to fraction form
    13,559.48/20,345.42 = 8,023.68/x
  3. Step 3: Cross multiply
    13,559.48x = 20,345.42 × 8,023.68
  4. Step 4: Simplify right side
    13,559.48x = 163,245,139.55
  5. Step 5: Solve for x
    x = 163,245,139.55/13,559.48
  6. Step 6: Final answer
    x = 12,039.19

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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.