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Finding the Fourth Proportional to 26,177.80, 39,260.82 and 7,457.44

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Solution

The fourth proportional to 26,177.80, 39,260.82 and 7,457.44 is: 11,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,177.80 : 39,260.82 = 7,457.44 : x
  2. Step 2: Convert to fraction form
    26,177.80/39,260.82 = 7,457.44/x
  3. Step 3: Cross multiply
    26,177.80x = 39,260.82 × 7,457.44
  4. Step 4: Simplify right side
    26,177.80x = 292,785,209.50
  5. Step 5: Solve for x
    x = 292,785,209.50/26,177.80
  6. Step 6: Final answer
    x = 11,184.48

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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.