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Finding the Fourth Proportional to 29,868, 41,215.14 and 16,439.82

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Solution

The fourth proportional to 29,868, 41,215.14 and 16,439.82 is: 22,685.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,868 : 41,215.14 = 16,439.82 : x
  2. Step 2: Convert to fraction form
    29,868/41,215.14 = 16,439.82/x
  3. Step 3: Cross multiply
    29,868x = 41,215.14 × 16,439.82
  4. Step 4: Simplify right side
    29,868x = 677,569,482.87
  5. Step 5: Solve for x
    x = 677,569,482.87/29,868
  6. Step 6: Final answer
    x = 22,685.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.