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Finding the Fourth Proportional to 29,896.84, 41,257.74 and 16,468.07

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Solution

The fourth proportional to 29,896.84, 41,257.74 and 16,468.07 is: 22,725.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,896.84 : 41,257.74 = 16,468.07 : x
  2. Step 2: Convert to fraction form
    29,896.84/41,257.74 = 16,468.07/x
  3. Step 3: Cross multiply
    29,896.84x = 41,257.74 × 16,468.07
  4. Step 4: Simplify right side
    29,896.84x = 679,435,205.83
  5. Step 5: Solve for x
    x = 679,435,205.83/29,896.84
  6. Step 6: Final answer
    x = 22,725.99

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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.