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Finding the Fourth Proportional to 22,846.12, 34,269.10 and 8,051.47

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Solution

The fourth proportional to 22,846.12, 34,269.10 and 8,051.47 is: 12,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.12 : 34,269.10 = 8,051.47 : x
  2. Step 2: Convert to fraction form
    22,846.12/34,269.10 = 8,051.47/x
  3. Step 3: Cross multiply
    22,846.12x = 34,269.10 × 8,051.47
  4. Step 4: Simplify right side
    22,846.12x = 275,916,630.58
  5. Step 5: Solve for x
    x = 275,916,630.58/22,846.12
  6. Step 6: Final answer
    x = 12,077.18

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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.