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Finding the Fourth Proportional to 22,944.50, 34,416.34 and 6,304.46

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Solution

The fourth proportional to 22,944.50, 34,416.34 and 6,304.46 is: 9,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,944.50 : 34,416.34 = 6,304.46 : x
  2. Step 2: Convert to fraction form
    22,944.50/34,416.34 = 6,304.46/x
  3. Step 3: Cross multiply
    22,944.50x = 34,416.34 × 6,304.46
  4. Step 4: Simplify right side
    22,944.50x = 216,976,407.35
  5. Step 5: Solve for x
    x = 216,976,407.35/22,944.50
  6. Step 6: Final answer
    x = 9,456.58

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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.