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Finding the Fourth Proportional to 22,510.84, 33,767.70 and 8,659.84

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Solution

The fourth proportional to 22,510.84, 33,767.70 and 8,659.84 is: 12,990.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,510.84 : 33,767.70 = 8,659.84 : x
  2. Step 2: Convert to fraction form
    22,510.84/33,767.70 = 8,659.84/x
  3. Step 3: Cross multiply
    22,510.84x = 33,767.70 × 8,659.84
  4. Step 4: Simplify right side
    22,510.84x = 292,422,879.17
  5. Step 5: Solve for x
    x = 292,422,879.17/22,510.84
  6. Step 6: Final answer
    x = 12,990.31

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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.