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Finding the Fourth Proportional to 22,695, 34,043.31 and 6,055.98

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Solution

The fourth proportional to 22,695, 34,043.31 and 6,055.98 is: 9,084.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,695 : 34,043.31 = 6,055.98 : x
  2. Step 2: Convert to fraction form
    22,695/34,043.31 = 6,055.98/x
  3. Step 3: Cross multiply
    22,695x = 34,043.31 × 6,055.98
  4. Step 4: Simplify right side
    22,695x = 206,165,604.49
  5. Step 5: Solve for x
    x = 206,165,604.49/22,695
  6. Step 6: Final answer
    x = 9,084.19

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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.