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Finding the Fourth Proportional to 18,833.28, 28,249.92 and 7,143.72

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Solution

The fourth proportional to 18,833.28, 28,249.92 and 7,143.72 is: 10,715.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,833.28 : 28,249.92 = 7,143.72 : x
  2. Step 2: Convert to fraction form
    18,833.28/28,249.92 = 7,143.72/x
  3. Step 3: Cross multiply
    18,833.28x = 28,249.92 × 7,143.72
  4. Step 4: Simplify right side
    18,833.28x = 201,809,518.50
  5. Step 5: Solve for x
    x = 201,809,518.50/18,833.28
  6. Step 6: Final answer
    x = 10,715.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.