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Finding the Fourth Proportional to 16,145.76, 22,282.14 and 9,072.18

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Solution

The fourth proportional to 16,145.76, 22,282.14 and 9,072.18 is: 12,520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,145.76 : 22,282.14 = 9,072.18 : x
  2. Step 2: Convert to fraction form
    16,145.76/22,282.14 = 9,072.18/x
  3. Step 3: Cross multiply
    16,145.76x = 22,282.14 × 9,072.18
  4. Step 4: Simplify right side
    16,145.76x = 202,147,584.87
  5. Step 5: Solve for x
    x = 202,147,584.87/16,145.76
  6. Step 6: Final answer
    x = 12,520.17

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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.