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Finding the Fourth Proportional to 8,683.12, 13,023.20 and 2,442.48

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Solution

The fourth proportional to 8,683.12, 13,023.20 and 2,442.48 is: 3,663.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.12 : 13,023.20 = 2,442.48 : x
  2. Step 2: Convert to fraction form
    8,683.12/13,023.20 = 2,442.48/x
  3. Step 3: Cross multiply
    8,683.12x = 13,023.20 × 2,442.48
  4. Step 4: Simplify right side
    8,683.12x = 31,808,905.54
  5. Step 5: Solve for x
    x = 31,808,905.54/8,683.12
  6. Step 6: Final answer
    x = 3,663.30

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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.