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Finding the Fourth Proportional to 22,369.31, 30,869.70 and 12,298.78

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Solution

The fourth proportional to 22,369.31, 30,869.70 and 12,298.78 is: 16,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,369.31 : 30,869.70 = 12,298.78 : x
  2. Step 2: Convert to fraction form
    22,369.31/30,869.70 = 12,298.78/x
  3. Step 3: Cross multiply
    22,369.31x = 30,869.70 × 12,298.78
  4. Step 4: Simplify right side
    22,369.31x = 379,659,494.62
  5. Step 5: Solve for x
    x = 379,659,494.62/22,369.31
  6. Step 6: Final answer
    x = 16,972.34

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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.