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Finding the Fourth Proportional to 13,008.40, 19,469.40 and 9,120.40

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Solution

The fourth proportional to 13,008.40, 19,469.40 and 9,120.40 is: 13,650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.40 : 19,469.40 = 9,120.40 : x
  2. Step 2: Convert to fraction form
    13,008.40/19,469.40 = 9,120.40/x
  3. Step 3: Cross multiply
    13,008.40x = 19,469.40 × 9,120.40
  4. Step 4: Simplify right side
    13,008.40x = 177,568,715.76
  5. Step 5: Solve for x
    x = 177,568,715.76/13,008.40
  6. Step 6: Final answer
    x = 13,650.31

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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.