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Finding the Fourth Proportional to 16,378.74, 22,604.67 and 9,305.82

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Solution

The fourth proportional to 16,378.74, 22,604.67 and 9,305.82 is: 12,843.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.74 : 22,604.67 = 9,305.82 : x
  2. Step 2: Convert to fraction form
    16,378.74/22,604.67 = 9,305.82/x
  3. Step 3: Cross multiply
    16,378.74x = 22,604.67 × 9,305.82
  4. Step 4: Simplify right side
    16,378.74x = 210,354,990.18
  5. Step 5: Solve for x
    x = 210,354,990.18/16,378.74
  6. Step 6: Final answer
    x = 12,843.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.