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Finding the Fourth Proportional to 25,843.98, 35,645.18 and 22,265

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Solution

The fourth proportional to 25,843.98, 35,645.18 and 22,265 is: 30,708.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,843.98 : 35,645.18 = 22,265 : x
  2. Step 2: Convert to fraction form
    25,843.98/35,645.18 = 22,265/x
  3. Step 3: Cross multiply
    25,843.98x = 35,645.18 × 22,265
  4. Step 4: Simplify right side
    25,843.98x = 793,639,932.70
  5. Step 5: Solve for x
    x = 793,639,932.70/25,843.98
  6. Step 6: Final answer
    x = 30,708.89

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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.