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Finding the Fourth Proportional to 13,442.48, 20,165.20 and 3,582.08

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Solution

The fourth proportional to 13,442.48, 20,165.20 and 3,582.08 is: 5,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.48 : 20,165.20 = 3,582.08 : x
  2. Step 2: Convert to fraction form
    13,442.48/20,165.20 = 3,582.08/x
  3. Step 3: Cross multiply
    13,442.48x = 20,165.20 × 3,582.08
  4. Step 4: Simplify right side
    13,442.48x = 72,233,359.62
  5. Step 5: Solve for x
    x = 72,233,359.62/13,442.48
  6. Step 6: Final answer
    x = 5,373.51

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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.