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Finding the Fourth Proportional to 16,284.57, 22,473.11 and 9,114.43

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Solution

The fourth proportional to 16,284.57, 22,473.11 and 9,114.43 is: 12,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.57 : 22,473.11 = 9,114.43 : x
  2. Step 2: Convert to fraction form
    16,284.57/22,473.11 = 9,114.43/x
  3. Step 3: Cross multiply
    16,284.57x = 22,473.11 × 9,114.43
  4. Step 4: Simplify right side
    16,284.57x = 204,829,596.72
  5. Step 5: Solve for x
    x = 204,829,596.72/16,284.57
  6. Step 6: Final answer
    x = 12,578.14

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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.