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Finding the Fourth Proportional to 22,872.72, 31,551.73 and 16,077.18

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Solution

The fourth proportional to 22,872.72, 31,551.73 and 16,077.18 is: 22,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,872.72 : 31,551.73 = 16,077.18 : x
  2. Step 2: Convert to fraction form
    22,872.72/31,551.73 = 16,077.18/x
  3. Step 3: Cross multiply
    22,872.72x = 31,551.73 × 16,077.18
  4. Step 4: Simplify right side
    22,872.72x = 507,262,920.65
  5. Step 5: Solve for x
    x = 507,262,920.65/22,872.72
  6. Step 6: Final answer
    x = 22,177.64

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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.