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Finding the Fourth Proportional to 12,824.20, 17,698.28 and 7,160.06

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Solution

The fourth proportional to 12,824.20, 17,698.28 and 7,160.06 is: 9,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824.20 : 17,698.28 = 7,160.06 : x
  2. Step 2: Convert to fraction form
    12,824.20/17,698.28 = 7,160.06/x
  3. Step 3: Cross multiply
    12,824.20x = 17,698.28 × 7,160.06
  4. Step 4: Simplify right side
    12,824.20x = 126,720,746.70
  5. Step 5: Solve for x
    x = 126,720,746.70/12,824.20
  6. Step 6: Final answer
    x = 9,881.38

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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.