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Finding the Fourth Proportional to 22,303.50, 30,776.79 and 12,231.78

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Solution

The fourth proportional to 22,303.50, 30,776.79 and 12,231.78 is: 16,878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,303.50 : 30,776.79 = 12,231.78 : x
  2. Step 2: Convert to fraction form
    22,303.50/30,776.79 = 12,231.78/x
  3. Step 3: Cross multiply
    22,303.50x = 30,776.79 × 12,231.78
  4. Step 4: Simplify right side
    22,303.50x = 376,454,924.39
  5. Step 5: Solve for x
    x = 376,454,924.39/22,303.50
  6. Step 6: Final answer
    x = 16,878.74

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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.