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Finding the Fourth Proportional to 22,367.91, 30,867.71 and 12,297

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Solution

The fourth proportional to 22,367.91, 30,867.71 and 12,297 is: 16,969.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,367.91 : 30,867.71 = 12,297 : x
  2. Step 2: Convert to fraction form
    22,367.91/30,867.71 = 12,297/x
  3. Step 3: Cross multiply
    22,367.91x = 30,867.71 × 12,297
  4. Step 4: Simplify right side
    22,367.91x = 379,580,168.39
  5. Step 5: Solve for x
    x = 379,580,168.39/22,367.91
  6. Step 6: Final answer
    x = 16,969.85

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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.