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Finding the Fourth Proportional to 26,702.44, 40,055.94 and 6,980.97

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Solution

The fourth proportional to 26,702.44, 40,055.94 and 6,980.97 is: 10,472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,702.44 : 40,055.94 = 6,980.97 : x
  2. Step 2: Convert to fraction form
    26,702.44/40,055.94 = 6,980.97/x
  3. Step 3: Cross multiply
    26,702.44x = 40,055.94 × 6,980.97
  4. Step 4: Simplify right side
    26,702.44x = 279,629,315.46
  5. Step 5: Solve for x
    x = 279,629,315.46/26,702.44
  6. Step 6: Final answer
    x = 10,472.05

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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.