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Finding the Fourth Proportional to 26,367.40, 39,544.86 and 7,642.48

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Solution

The fourth proportional to 26,367.40, 39,544.86 and 7,642.48 is: 11,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,367.40 : 39,544.86 = 7,642.48 : x
  2. Step 2: Convert to fraction form
    26,367.40/39,544.86 = 7,642.48/x
  3. Step 3: Cross multiply
    26,367.40x = 39,544.86 × 7,642.48
  4. Step 4: Simplify right side
    26,367.40x = 302,220,801.65
  5. Step 5: Solve for x
    x = 302,220,801.65/26,367.40
  6. Step 6: Final answer
    x = 11,461.91

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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.