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Finding the Fourth Proportional to 17,252.34, 25,854.66 and 7,869.48

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Solution

The fourth proportional to 17,252.34, 25,854.66 and 7,869.48 is: 11,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,252.34 : 25,854.66 = 7,869.48 : x
  2. Step 2: Convert to fraction form
    17,252.34/25,854.66 = 7,869.48/x
  3. Step 3: Cross multiply
    17,252.34x = 25,854.66 × 7,869.48
  4. Step 4: Simplify right side
    17,252.34x = 203,462,729.78
  5. Step 5: Solve for x
    x = 203,462,729.78/17,252.34
  6. Step 6: Final answer
    x = 11,793.34

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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.