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Finding the Fourth Proportional to 22,982.68, 31,691.28 and 20,970.64

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Solution

The fourth proportional to 22,982.68, 31,691.28 and 20,970.64 is: 28,916.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.68 : 31,691.28 = 20,970.64 : x
  2. Step 2: Convert to fraction form
    22,982.68/31,691.28 = 20,970.64/x
  3. Step 3: Cross multiply
    22,982.68x = 31,691.28 × 20,970.64
  4. Step 4: Simplify right side
    22,982.68x = 664,586,424.02
  5. Step 5: Solve for x
    x = 664,586,424.02/22,982.68
  6. Step 6: Final answer
    x = 28,916.84

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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.