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Finding the Fourth Proportional to 20,384.92, 28,122.66 and 12,817.84

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Solution

The fourth proportional to 20,384.92, 28,122.66 and 12,817.84 is: 17,683.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,384.92 : 28,122.66 = 12,817.84 : x
  2. Step 2: Convert to fraction form
    20,384.92/28,122.66 = 12,817.84/x
  3. Step 3: Cross multiply
    20,384.92x = 28,122.66 × 12,817.84
  4. Step 4: Simplify right side
    20,384.92x = 360,471,756.25
  5. Step 5: Solve for x
    x = 360,471,756.25/20,384.92
  6. Step 6: Final answer
    x = 17,683.26

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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.