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Finding the Fourth Proportional to 13,400.61, 18,493.05 and 7,351.38

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Solution

The fourth proportional to 13,400.61, 18,493.05 and 7,351.38 is: 10,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.61 : 18,493.05 = 7,351.38 : x
  2. Step 2: Convert to fraction form
    13,400.61/18,493.05 = 7,351.38/x
  3. Step 3: Cross multiply
    13,400.61x = 18,493.05 × 7,351.38
  4. Step 4: Simplify right side
    13,400.61x = 135,949,437.91
  5. Step 5: Solve for x
    x = 135,949,437.91/13,400.61
  6. Step 6: Final answer
    x = 10,145.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.