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Finding the Fourth Proportional to 16,151.84, 22,288.92 and 9,078.56

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Solution

The fourth proportional to 16,151.84, 22,288.92 and 9,078.56 is: 12,528.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,151.84 : 22,288.92 = 9,078.56 : x
  2. Step 2: Convert to fraction form
    16,151.84/22,288.92 = 9,078.56/x
  3. Step 3: Cross multiply
    16,151.84x = 22,288.92 × 9,078.56
  4. Step 4: Simplify right side
    16,151.84x = 202,351,297.56
  5. Step 5: Solve for x
    x = 202,351,297.56/16,151.84
  6. Step 6: Final answer
    x = 12,528.06

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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.