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Finding the Fourth Proportional to 29,778.69, 41,092.33 and 16,347.81

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Solution

The fourth proportional to 29,778.69, 41,092.33 and 16,347.81 is: 22,558.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,778.69 : 41,092.33 = 16,347.81 : x
  2. Step 2: Convert to fraction form
    29,778.69/41,092.33 = 16,347.81/x
  3. Step 3: Cross multiply
    29,778.69x = 41,092.33 × 16,347.81
  4. Step 4: Simplify right side
    29,778.69x = 671,769,603.30
  5. Step 5: Solve for x
    x = 671,769,603.30/29,778.69
  6. Step 6: Final answer
    x = 22,558.74

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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.