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Finding the Fourth Proportional to 13,563.60, 20,345.40 and 8,023.20

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Solution

The fourth proportional to 13,563.60, 20,345.40 and 8,023.20 is: 12,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.60 : 20,345.40 = 8,023.20 : x
  2. Step 2: Convert to fraction form
    13,563.60/20,345.40 = 8,023.20/x
  3. Step 3: Cross multiply
    13,563.60x = 20,345.40 × 8,023.20
  4. Step 4: Simplify right side
    13,563.60x = 163,235,213.28
  5. Step 5: Solve for x
    x = 163,235,213.28/13,563.60
  6. Step 6: Final answer
    x = 12,034.80

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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.