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Finding the Fourth Proportional to 22,432.75, 30,956.78 and 12,362.09

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Solution

The fourth proportional to 22,432.75, 30,956.78 and 12,362.09 is: 17,059.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432.75 : 30,956.78 = 12,362.09 : x
  2. Step 2: Convert to fraction form
    22,432.75/30,956.78 = 12,362.09/x
  3. Step 3: Cross multiply
    22,432.75x = 30,956.78 × 12,362.09
  4. Step 4: Simplify right side
    22,432.75x = 382,690,376.59
  5. Step 5: Solve for x
    x = 382,690,376.59/22,432.75
  6. Step 6: Final answer
    x = 17,059.45

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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.