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Finding the Fourth Proportional to 22,947.21, 34,416.70 and 6,305.09

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Solution

The fourth proportional to 22,947.21, 34,416.70 and 6,305.09 is: 9,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,947.21 : 34,416.70 = 6,305.09 : x
  2. Step 2: Convert to fraction form
    22,947.21/34,416.70 = 6,305.09/x
  3. Step 3: Cross multiply
    22,947.21x = 34,416.70 × 6,305.09
  4. Step 4: Simplify right side
    22,947.21x = 217,000,203.16
  5. Step 5: Solve for x
    x = 217,000,203.16/22,947.21
  6. Step 6: Final answer
    x = 9,456.50

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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.