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Finding the Fourth Proportional to 22,864.32, 34,300.56 and 8,081.82

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Solution

The fourth proportional to 22,864.32, 34,300.56 and 8,081.82 is: 12,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,864.32 : 34,300.56 = 8,081.82 : x
  2. Step 2: Convert to fraction form
    22,864.32/34,300.56 = 8,081.82/x
  3. Step 3: Cross multiply
    22,864.32x = 34,300.56 × 8,081.82
  4. Step 4: Simplify right side
    22,864.32x = 277,210,951.82
  5. Step 5: Solve for x
    x = 277,210,951.82/22,864.32
  6. Step 6: Final answer
    x = 12,124.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.