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Finding the Fourth Proportional to 16,218.71, 22,382.60 and 9,144.98

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Solution

The fourth proportional to 16,218.71, 22,382.60 and 9,144.98 is: 12,620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,218.71 : 22,382.60 = 9,144.98 : x
  2. Step 2: Convert to fraction form
    16,218.71/22,382.60 = 9,144.98/x
  3. Step 3: Cross multiply
    16,218.71x = 22,382.60 × 9,144.98
  4. Step 4: Simplify right side
    16,218.71x = 204,688,558.71
  5. Step 5: Solve for x
    x = 204,688,558.71/16,218.71
  6. Step 6: Final answer
    x = 12,620.52

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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.