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Finding the Fourth Proportional to 26,078.88, 35,962.80 and 16,644

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Solution

The fourth proportional to 26,078.88, 35,962.80 and 16,644 is: 22,952.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,078.88 : 35,962.80 = 16,644 : x
  2. Step 2: Convert to fraction form
    26,078.88/35,962.80 = 16,644/x
  3. Step 3: Cross multiply
    26,078.88x = 35,962.80 × 16,644
  4. Step 4: Simplify right side
    26,078.88x = 598,564,843.20
  5. Step 5: Solve for x
    x = 598,564,843.20/26,078.88
  6. Step 6: Final answer
    x = 22,952.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.