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Finding the Fourth Proportional to 23,056.42, 34,589.25 and 8,266.49

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Solution

The fourth proportional to 23,056.42, 34,589.25 and 8,266.49 is: 12,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,056.42 : 34,589.25 = 8,266.49 : x
  2. Step 2: Convert to fraction form
    23,056.42/34,589.25 = 8,266.49/x
  3. Step 3: Cross multiply
    23,056.42x = 34,589.25 × 8,266.49
  4. Step 4: Simplify right side
    23,056.42x = 285,931,689.23
  5. Step 5: Solve for x
    x = 285,931,689.23/23,056.42
  6. Step 6: Final answer
    x = 12,401.39

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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.