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Finding the Fourth Proportional to 22,297.14, 30,772.71 and 12,865.50

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Solution

The fourth proportional to 22,297.14, 30,772.71 and 12,865.50 is: 17,755.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297.14 : 30,772.71 = 12,865.50 : x
  2. Step 2: Convert to fraction form
    22,297.14/30,772.71 = 12,865.50/x
  3. Step 3: Cross multiply
    22,297.14x = 30,772.71 × 12,865.50
  4. Step 4: Simplify right side
    22,297.14x = 395,906,300.51
  5. Step 5: Solve for x
    x = 395,906,300.51/22,297.14
  6. Step 6: Final answer
    x = 17,755.92

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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.