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Finding the Fourth Proportional to 26,643.30, 39,964.94 and 7,923.26

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Solution

The fourth proportional to 26,643.30, 39,964.94 and 7,923.26 is: 11,884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,643.30 : 39,964.94 = 7,923.26 : x
  2. Step 2: Convert to fraction form
    26,643.30/39,964.94 = 7,923.26/x
  3. Step 3: Cross multiply
    26,643.30x = 39,964.94 × 7,923.26
  4. Step 4: Simplify right side
    26,643.30x = 316,652,610.50
  5. Step 5: Solve for x
    x = 316,652,610.50/26,643.30
  6. Step 6: Final answer
    x = 11,884.89

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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.