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Finding the Fourth Proportional to 22,378.64, 30,881.83 and 12,305.69

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Solution

The fourth proportional to 22,378.64, 30,881.83 and 12,305.69 is: 16,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.64 : 30,881.83 = 12,305.69 : x
  2. Step 2: Convert to fraction form
    22,378.64/30,881.83 = 12,305.69/x
  3. Step 3: Cross multiply
    22,378.64x = 30,881.83 × 12,305.69
  4. Step 4: Simplify right side
    22,378.64x = 380,022,226.61
  5. Step 5: Solve for x
    x = 380,022,226.61/22,378.64
  6. Step 6: Final answer
    x = 16,981.47

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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.