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Finding the Fourth Proportional to 13,129.20, 19,693.80 and 6,217.20

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Solution

The fourth proportional to 13,129.20, 19,693.80 and 6,217.20 is: 9,325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.20 : 19,693.80 = 6,217.20 : x
  2. Step 2: Convert to fraction form
    13,129.20/19,693.80 = 6,217.20/x
  3. Step 3: Cross multiply
    13,129.20x = 19,693.80 × 6,217.20
  4. Step 4: Simplify right side
    13,129.20x = 122,440,293.36
  5. Step 5: Solve for x
    x = 122,440,293.36/13,129.20
  6. Step 6: Final answer
    x = 9,325.80

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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.