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Finding the Fourth Proportional to 13,338.91, 20,009.53 and 5,442.02

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Solution

The fourth proportional to 13,338.91, 20,009.53 and 5,442.02 is: 8,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,338.91 : 20,009.53 = 5,442.02 : x
  2. Step 2: Convert to fraction form
    13,338.91/20,009.53 = 5,442.02/x
  3. Step 3: Cross multiply
    13,338.91x = 20,009.53 × 5,442.02
  4. Step 4: Simplify right side
    13,338.91x = 108,892,244.24
  5. Step 5: Solve for x
    x = 108,892,244.24/13,338.91
  6. Step 6: Final answer
    x = 8,163.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.