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Finding the Fourth Proportional to 13,204.97, 18,220.02 and 7,829.10

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Solution

The fourth proportional to 13,204.97, 18,220.02 and 7,829.10 is: 10,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.97 : 18,220.02 = 7,829.10 : x
  2. Step 2: Convert to fraction form
    13,204.97/18,220.02 = 7,829.10/x
  3. Step 3: Cross multiply
    13,204.97x = 18,220.02 × 7,829.10
  4. Step 4: Simplify right side
    13,204.97x = 142,646,358.58
  5. Step 5: Solve for x
    x = 142,646,358.58/13,204.97
  6. Step 6: Final answer
    x = 10,802.48

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