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Finding the Fourth Proportional to 13,032.48, 17,984.38 and 7,724.15

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Solution

The fourth proportional to 13,032.48, 17,984.38 and 7,724.15 is: 10,659.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.48 : 17,984.38 = 7,724.15 : x
  2. Step 2: Convert to fraction form
    13,032.48/17,984.38 = 7,724.15/x
  3. Step 3: Cross multiply
    13,032.48x = 17,984.38 × 7,724.15
  4. Step 4: Simplify right side
    13,032.48x = 138,914,048.78
  5. Step 5: Solve for x
    x = 138,914,048.78/13,032.48
  6. Step 6: Final answer
    x = 10,659.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.