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Finding the Fourth Proportional to 13,819.64, 20,722.16 and 6,024.20

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Solution

The fourth proportional to 13,819.64, 20,722.16 and 6,024.20 is: 9,033.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.64 : 20,722.16 = 6,024.20 : x
  2. Step 2: Convert to fraction form
    13,819.64/20,722.16 = 6,024.20/x
  3. Step 3: Cross multiply
    13,819.64x = 20,722.16 × 6,024.20
  4. Step 4: Simplify right side
    13,819.64x = 124,834,302.54
  5. Step 5: Solve for x
    x = 124,834,302.54/13,819.64
  6. Step 6: Final answer
    x = 9,033.11

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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.