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Finding the Fourth Proportional to 10,197.99, 15,298.56 and 8,432.73

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Solution

The fourth proportional to 10,197.99, 15,298.56 and 8,432.73 is: 12,650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.99 : 15,298.56 = 8,432.73 : x
  2. Step 2: Convert to fraction form
    10,197.99/15,298.56 = 8,432.73/x
  3. Step 3: Cross multiply
    10,197.99x = 15,298.56 × 8,432.73
  4. Step 4: Simplify right side
    10,197.99x = 129,008,625.87
  5. Step 5: Solve for x
    x = 129,008,625.87/10,197.99
  6. Step 6: Final answer
    x = 12,650.40

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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.