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Finding the Fourth Proportional to 23,069.78, 34,606.38 and 8,278.84

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Solution

The fourth proportional to 23,069.78, 34,606.38 and 8,278.84 is: 12,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,069.78 : 34,606.38 = 8,278.84 : x
  2. Step 2: Convert to fraction form
    23,069.78/34,606.38 = 8,278.84/x
  3. Step 3: Cross multiply
    23,069.78x = 34,606.38 × 8,278.84
  4. Step 4: Simplify right side
    23,069.78x = 286,500,683.00
  5. Step 5: Solve for x
    x = 286,500,683.00/23,069.78
  6. Step 6: Final answer
    x = 12,418.87

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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.