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Finding the Fourth Proportional to 29,778.66, 41,095.08 and 16,351.14

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Solution

The fourth proportional to 29,778.66, 41,095.08 and 16,351.14 is: 22,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,778.66 : 41,095.08 = 16,351.14 : x
  2. Step 2: Convert to fraction form
    29,778.66/41,095.08 = 16,351.14/x
  3. Step 3: Cross multiply
    29,778.66x = 41,095.08 × 16,351.14
  4. Step 4: Simplify right side
    29,778.66x = 671,951,406.39
  5. Step 5: Solve for x
    x = 671,951,406.39/29,778.66
  6. Step 6: Final answer
    x = 22,564.86

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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.