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Finding the Fourth Proportional to 22,956.32, 34,428.80 and 6,315.54

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Solution

The fourth proportional to 22,956.32, 34,428.80 and 6,315.54 is: 9,471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,956.32 : 34,428.80 = 6,315.54 : x
  2. Step 2: Convert to fraction form
    22,956.32/34,428.80 = 6,315.54/x
  3. Step 3: Cross multiply
    22,956.32x = 34,428.80 × 6,315.54
  4. Step 4: Simplify right side
    22,956.32x = 217,436,431.97
  5. Step 5: Solve for x
    x = 217,436,431.97/22,956.32
  6. Step 6: Final answer
    x = 9,471.75

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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.