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Finding the Fourth Proportional to 29,836.34, 41,173.26 and 16,407.58

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Solution

The fourth proportional to 29,836.34, 41,173.26 and 16,407.58 is: 22,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,836.34 : 41,173.26 = 16,407.58 : x
  2. Step 2: Convert to fraction form
    29,836.34/41,173.26 = 16,407.58/x
  3. Step 3: Cross multiply
    29,836.34x = 41,173.26 × 16,407.58
  4. Step 4: Simplify right side
    29,836.34x = 675,553,557.31
  5. Step 5: Solve for x
    x = 675,553,557.31/29,836.34
  6. Step 6: Final answer
    x = 22,641.97

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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.