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Finding the Fourth Proportional to 26,642.52, 39,964.32 and 9,132.48

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Solution

The fourth proportional to 26,642.52, 39,964.32 and 9,132.48 is: 13,698.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,642.52 : 39,964.32 = 9,132.48 : x
  2. Step 2: Convert to fraction form
    26,642.52/39,964.32 = 9,132.48/x
  3. Step 3: Cross multiply
    26,642.52x = 39,964.32 × 9,132.48
  4. Step 4: Simplify right side
    26,642.52x = 364,973,353.11
  5. Step 5: Solve for x
    x = 364,973,353.11/26,642.52
  6. Step 6: Final answer
    x = 13,698.91

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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.