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Finding the Fourth Proportional to 22,076.47, 30,472.10 and 12,651.31

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Solution

The fourth proportional to 22,076.47, 30,472.10 and 12,651.31 is: 17,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,076.47 : 30,472.10 = 12,651.31 : x
  2. Step 2: Convert to fraction form
    22,076.47/30,472.10 = 12,651.31/x
  3. Step 3: Cross multiply
    22,076.47x = 30,472.10 × 12,651.31
  4. Step 4: Simplify right side
    22,076.47x = 385,511,983.45
  5. Step 5: Solve for x
    x = 385,511,983.45/22,076.47
  6. Step 6: Final answer
    x = 17,462.57

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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.