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Finding the Fourth Proportional to 13,809.50, 20,717.28 and 5,044.20

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Solution

The fourth proportional to 13,809.50, 20,717.28 and 5,044.20 is: 7,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.50 : 20,717.28 = 5,044.20 : x
  2. Step 2: Convert to fraction form
    13,809.50/20,717.28 = 5,044.20/x
  3. Step 3: Cross multiply
    13,809.50x = 20,717.28 × 5,044.20
  4. Step 4: Simplify right side
    13,809.50x = 104,502,103.78
  5. Step 5: Solve for x
    x = 104,502,103.78/13,809.50
  6. Step 6: Final answer
    x = 7,567.41

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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.