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Finding the Fourth Proportional to 22,702.51, 34,057.40 and 8,661.97

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Solution

The fourth proportional to 22,702.51, 34,057.40 and 8,661.97 is: 12,994.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.51 : 34,057.40 = 8,661.97 : x
  2. Step 2: Convert to fraction form
    22,702.51/34,057.40 = 8,661.97/x
  3. Step 3: Cross multiply
    22,702.51x = 34,057.40 × 8,661.97
  4. Step 4: Simplify right side
    22,702.51x = 295,004,177.08
  5. Step 5: Solve for x
    x = 295,004,177.08/22,702.51
  6. Step 6: Final answer
    x = 12,994.34

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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.