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Finding the Fourth Proportional to 22,886.01, 34,315.74 and 7,086.78

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Solution

The fourth proportional to 22,886.01, 34,315.74 and 7,086.78 is: 10,626.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,886.01 : 34,315.74 = 7,086.78 : x
  2. Step 2: Convert to fraction form
    22,886.01/34,315.74 = 7,086.78/x
  3. Step 3: Cross multiply
    22,886.01x = 34,315.74 × 7,086.78
  4. Step 4: Simplify right side
    22,886.01x = 243,188,099.92
  5. Step 5: Solve for x
    x = 243,188,099.92/22,886.01
  6. Step 6: Final answer
    x = 10,626.06

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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.