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Finding the Fourth Proportional to 22,724.92, 31,360.08 and 12,653.08

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Solution

The fourth proportional to 22,724.92, 31,360.08 and 12,653.08 is: 17,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,724.92 : 31,360.08 = 12,653.08 : x
  2. Step 2: Convert to fraction form
    22,724.92/31,360.08 = 12,653.08/x
  3. Step 3: Cross multiply
    22,724.92x = 31,360.08 × 12,653.08
  4. Step 4: Simplify right side
    22,724.92x = 396,801,601.05
  5. Step 5: Solve for x
    x = 396,801,601.05/22,724.92
  6. Step 6: Final answer
    x = 17,461.08

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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.