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Finding the Fourth Proportional to 22,964.49, 34,414.67 and 12,411.77

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Solution

The fourth proportional to 22,964.49, 34,414.67 and 12,411.77 is: 18,600.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.49 : 34,414.67 = 12,411.77 : x
  2. Step 2: Convert to fraction form
    22,964.49/34,414.67 = 12,411.77/x
  3. Step 3: Cross multiply
    22,964.49x = 34,414.67 × 12,411.77
  4. Step 4: Simplify right side
    22,964.49x = 427,146,734.53
  5. Step 5: Solve for x
    x = 427,146,734.53/22,964.49
  6. Step 6: Final answer
    x = 18,600.31

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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.