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Finding the Fourth Proportional to 16,295, 24,442.50 and 5,906.76

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Solution

The fourth proportional to 16,295, 24,442.50 and 5,906.76 is: 8,860.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,295 : 24,442.50 = 5,906.76 : x
  2. Step 2: Convert to fraction form
    16,295/24,442.50 = 5,906.76/x
  3. Step 3: Cross multiply
    16,295x = 24,442.50 × 5,906.76
  4. Step 4: Simplify right side
    16,295x = 144,375,981.30
  5. Step 5: Solve for x
    x = 144,375,981.30/16,295
  6. Step 6: Final answer
    x = 8,860.14

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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.