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Finding the Fourth Proportional to 18,666.92, 28,002 and 6,823.94

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Solution

The fourth proportional to 18,666.92, 28,002 and 6,823.94 is: 10,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,666.92 : 28,002 = 6,823.94 : x
  2. Step 2: Convert to fraction form
    18,666.92/28,002 = 6,823.94/x
  3. Step 3: Cross multiply
    18,666.92x = 28,002 × 6,823.94
  4. Step 4: Simplify right side
    18,666.92x = 191,083,967.88
  5. Step 5: Solve for x
    x = 191,083,967.88/18,666.92
  6. Step 6: Final answer
    x = 10,236.50

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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.