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Finding the Fourth Proportional to 13,660.85, 18,851.79 and 7,693.11

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Solution

The fourth proportional to 13,660.85, 18,851.79 and 7,693.11 is: 10,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,660.85 : 18,851.79 = 7,693.11 : x
  2. Step 2: Convert to fraction form
    13,660.85/18,851.79 = 7,693.11/x
  3. Step 3: Cross multiply
    13,660.85x = 18,851.79 × 7,693.11
  4. Step 4: Simplify right side
    13,660.85x = 145,028,799.91
  5. Step 5: Solve for x
    x = 145,028,799.91/13,660.85
  6. Step 6: Final answer
    x = 10,616.38

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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.