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Finding the Fourth Proportional to 25,952.83, 35,772.84 and 20,277.68

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Solution

The fourth proportional to 25,952.83, 35,772.84 and 20,277.68 is: 27,950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,952.83 : 35,772.84 = 20,277.68 : x
  2. Step 2: Convert to fraction form
    25,952.83/35,772.84 = 20,277.68/x
  3. Step 3: Cross multiply
    25,952.83x = 35,772.84 × 20,277.68
  4. Step 4: Simplify right side
    25,952.83x = 725,390,202.21
  5. Step 5: Solve for x
    x = 725,390,202.21/25,952.83
  6. Step 6: Final answer
    x = 27,950.33

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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.