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Finding the Fourth Proportional to 22,548.35, 33,817.40 and 8,509.87

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Solution

The fourth proportional to 22,548.35, 33,817.40 and 8,509.87 is: 12,762.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,548.35 : 33,817.40 = 8,509.87 : x
  2. Step 2: Convert to fraction form
    22,548.35/33,817.40 = 8,509.87/x
  3. Step 3: Cross multiply
    22,548.35x = 33,817.40 × 8,509.87
  4. Step 4: Simplify right side
    22,548.35x = 287,781,550.65
  5. Step 5: Solve for x
    x = 287,781,550.65/22,548.35
  6. Step 6: Final answer
    x = 12,762.86

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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.