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Finding the Fourth Proportional to 16,226.96, 22,392.84 and 9,153.20

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Solution

The fourth proportional to 16,226.96, 22,392.84 and 9,153.20 is: 12,631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,226.96 : 22,392.84 = 9,153.20 : x
  2. Step 2: Convert to fraction form
    16,226.96/22,392.84 = 9,153.20/x
  3. Step 3: Cross multiply
    16,226.96x = 22,392.84 × 9,153.20
  4. Step 4: Simplify right side
    16,226.96x = 204,966,143.09
  5. Step 5: Solve for x
    x = 204,966,143.09/16,226.96
  6. Step 6: Final answer
    x = 12,631.21

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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.