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Finding the Fourth Proportional to 22,806.92, 34,203.89 and 8,765.98

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Solution

The fourth proportional to 22,806.92, 34,203.89 and 8,765.98 is: 13,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,806.92 : 34,203.89 = 8,765.98 : x
  2. Step 2: Convert to fraction form
    22,806.92/34,203.89 = 8,765.98/x
  3. Step 3: Cross multiply
    22,806.92x = 34,203.89 × 8,765.98
  4. Step 4: Simplify right side
    22,806.92x = 299,830,552.07
  5. Step 5: Solve for x
    x = 299,830,552.07/22,806.92
  6. Step 6: Final answer
    x = 13,146.47

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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.