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Finding the Fourth Proportional to 22,830.75, 34,240.86 and 8,786.16

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Solution

The fourth proportional to 22,830.75, 34,240.86 and 8,786.16 is: 13,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,830.75 : 34,240.86 = 8,786.16 : x
  2. Step 2: Convert to fraction form
    22,830.75/34,240.86 = 8,786.16/x
  3. Step 3: Cross multiply
    22,830.75x = 34,240.86 × 8,786.16
  4. Step 4: Simplify right side
    22,830.75x = 300,845,674.50
  5. Step 5: Solve for x
    x = 300,845,674.50/22,830.75
  6. Step 6: Final answer
    x = 13,177.21

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Why These Related Problems?

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