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Finding the Fourth Proportional to 26,642.05, 39,963.07 and 7,922.01

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Solution

The fourth proportional to 26,642.05, 39,963.07 and 7,922.01 is: 11,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,642.05 : 39,963.07 = 7,922.01 : x
  2. Step 2: Convert to fraction form
    26,642.05/39,963.07 = 7,922.01/x
  3. Step 3: Cross multiply
    26,642.05x = 39,963.07 × 7,922.01
  4. Step 4: Simplify right side
    26,642.05x = 316,587,840.17
  5. Step 5: Solve for x
    x = 316,587,840.17/26,642.05
  6. Step 6: Final answer
    x = 11,883.01

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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.