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Finding the Fourth Proportional to 28,286.50, 39,035.38 and 15,712.42

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Solution

The fourth proportional to 28,286.50, 39,035.38 and 15,712.42 is: 21,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,286.50 : 39,035.38 = 15,712.42 : x
  2. Step 2: Convert to fraction form
    28,286.50/39,035.38 = 15,712.42/x
  3. Step 3: Cross multiply
    28,286.50x = 39,035.38 × 15,712.42
  4. Step 4: Simplify right side
    28,286.50x = 613,340,285.42
  5. Step 5: Solve for x
    x = 613,340,285.42/28,286.50
  6. Step 6: Final answer
    x = 21,683.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.