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Finding the Fourth Proportional to 22,614.61, 33,917.29 and 8,569.79

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Solution

The fourth proportional to 22,614.61, 33,917.29 and 8,569.79 is: 12,852.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,614.61 : 33,917.29 = 8,569.79 : x
  2. Step 2: Convert to fraction form
    22,614.61/33,917.29 = 8,569.79/x
  3. Step 3: Cross multiply
    22,614.61x = 33,917.29 × 8,569.79
  4. Step 4: Simplify right side
    22,614.61x = 290,664,216.04
  5. Step 5: Solve for x
    x = 290,664,216.04/22,614.61
  6. Step 6: Final answer
    x = 12,852.94

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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.