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Finding the Fourth Proportional to 16,342.40, 22,552.83 and 9,268.70

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Solution

The fourth proportional to 16,342.40, 22,552.83 and 9,268.70 is: 12,790.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.40 : 22,552.83 = 9,268.70 : x
  2. Step 2: Convert to fraction form
    16,342.40/22,552.83 = 9,268.70/x
  3. Step 3: Cross multiply
    16,342.40x = 22,552.83 × 9,268.70
  4. Step 4: Simplify right side
    16,342.40x = 209,035,415.42
  5. Step 5: Solve for x
    x = 209,035,415.42/16,342.40
  6. Step 6: Final answer
    x = 12,790.99

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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.