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Finding the Fourth Proportional to 12,268.35, 18,374.49 and 9,629.85

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Solution

The fourth proportional to 12,268.35, 18,374.49 and 9,629.85 is: 14,422.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268.35 : 18,374.49 = 9,629.85 : x
  2. Step 2: Convert to fraction form
    12,268.35/18,374.49 = 9,629.85/x
  3. Step 3: Cross multiply
    12,268.35x = 18,374.49 × 9,629.85
  4. Step 4: Simplify right side
    12,268.35x = 176,943,582.53
  5. Step 5: Solve for x
    x = 176,943,582.53/12,268.35
  6. Step 6: Final answer
    x = 14,422.77

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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.