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Finding the Fourth Proportional to 13,420.78, 20,132.55 and 3,560.07

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Solution

The fourth proportional to 13,420.78, 20,132.55 and 3,560.07 is: 5,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.78 : 20,132.55 = 3,560.07 : x
  2. Step 2: Convert to fraction form
    13,420.78/20,132.55 = 3,560.07/x
  3. Step 3: Cross multiply
    13,420.78x = 20,132.55 × 3,560.07
  4. Step 4: Simplify right side
    13,420.78x = 71,673,287.28
  5. Step 5: Solve for x
    x = 71,673,287.28/13,420.78
  6. Step 6: Final answer
    x = 5,340.47

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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.