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Finding the Fourth Proportional to 22,574.72, 33,864.31 and 7,781.69

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Solution

The fourth proportional to 22,574.72, 33,864.31 and 7,781.69 is: 11,673.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,574.72 : 33,864.31 = 7,781.69 : x
  2. Step 2: Convert to fraction form
    22,574.72/33,864.31 = 7,781.69/x
  3. Step 3: Cross multiply
    22,574.72x = 33,864.31 × 7,781.69
  4. Step 4: Simplify right side
    22,574.72x = 263,521,656.87
  5. Step 5: Solve for x
    x = 263,521,656.87/22,574.72
  6. Step 6: Final answer
    x = 11,673.31

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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.