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Finding the Fourth Proportional to 29,897.94, 41,257.30 and 16,468.44

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Solution

The fourth proportional to 29,897.94, 41,257.30 and 16,468.44 is: 22,725.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,897.94 : 41,257.30 = 16,468.44 : x
  2. Step 2: Convert to fraction form
    29,897.94/41,257.30 = 16,468.44/x
  3. Step 3: Cross multiply
    29,897.94x = 41,257.30 × 16,468.44
  4. Step 4: Simplify right side
    29,897.94x = 679,443,287.27
  5. Step 5: Solve for x
    x = 679,443,287.27/29,897.94
  6. Step 6: Final answer
    x = 22,725.42

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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.