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Finding the Fourth Proportional to 12,563.76, 17,337.96 and 7,258.44

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Solution

The fourth proportional to 12,563.76, 17,337.96 and 7,258.44 is: 10,016.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.76 : 17,337.96 = 7,258.44 : x
  2. Step 2: Convert to fraction form
    12,563.76/17,337.96 = 7,258.44/x
  3. Step 3: Cross multiply
    12,563.76x = 17,337.96 × 7,258.44
  4. Step 4: Simplify right side
    12,563.76x = 125,846,542.38
  5. Step 5: Solve for x
    x = 125,846,542.38/12,563.76
  6. Step 6: Final answer
    x = 10,016.63

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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.