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Finding the Fourth Proportional to 22,498.25, 33,758.80 and 13,634.75

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Solution

The fourth proportional to 22,498.25, 33,758.80 and 13,634.75 is: 20,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,498.25 : 33,758.80 = 13,634.75 : x
  2. Step 2: Convert to fraction form
    22,498.25/33,758.80 = 13,634.75/x
  3. Step 3: Cross multiply
    22,498.25x = 33,758.80 × 13,634.75
  4. Step 4: Simplify right side
    22,498.25x = 460,292,848.61
  5. Step 5: Solve for x
    x = 460,292,848.61/22,498.25
  6. Step 6: Final answer
    x = 20,459.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.