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Finding the Fourth Proportional to 16,135.25, 22,268.80 and 9,766.98

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Solution

The fourth proportional to 16,135.25, 22,268.80 and 9,766.98 is: 13,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,135.25 : 22,268.80 = 9,766.98 : x
  2. Step 2: Convert to fraction form
    16,135.25/22,268.80 = 9,766.98/x
  3. Step 3: Cross multiply
    16,135.25x = 22,268.80 × 9,766.98
  4. Step 4: Simplify right side
    16,135.25x = 217,498,924.22
  5. Step 5: Solve for x
    x = 217,498,924.22/16,135.25
  6. Step 6: Final answer
    x = 13,479.74

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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.