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Finding the Fourth Proportional to 19,351.38, 29,029.65 and 7,661.86

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Solution

The fourth proportional to 19,351.38, 29,029.65 and 7,661.86 is: 11,493.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,351.38 : 29,029.65 = 7,661.86 : x
  2. Step 2: Convert to fraction form
    19,351.38/29,029.65 = 7,661.86/x
  3. Step 3: Cross multiply
    19,351.38x = 29,029.65 × 7,661.86
  4. Step 4: Simplify right side
    19,351.38x = 222,421,114.15
  5. Step 5: Solve for x
    x = 222,421,114.15/19,351.38
  6. Step 6: Final answer
    x = 11,493.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.