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Finding the Fourth Proportional to 13,394, 20,092.44 and 6,001.76

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Solution

The fourth proportional to 13,394, 20,092.44 and 6,001.76 is: 9,003.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,394 : 20,092.44 = 6,001.76 : x
  2. Step 2: Convert to fraction form
    13,394/20,092.44 = 6,001.76/x
  3. Step 3: Cross multiply
    13,394x = 20,092.44 × 6,001.76
  4. Step 4: Simplify right side
    13,394x = 120,590,002.69
  5. Step 5: Solve for x
    x = 120,590,002.69/13,394
  6. Step 6: Final answer
    x = 9,003.29

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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.