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Finding the Fourth Proportional to 14,286.38, 19,715.20 and 8,697.38

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Solution

The fourth proportional to 14,286.38, 19,715.20 and 8,697.38 is: 12,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286.38 : 19,715.20 = 8,697.38 : x
  2. Step 2: Convert to fraction form
    14,286.38/19,715.20 = 8,697.38/x
  3. Step 3: Cross multiply
    14,286.38x = 19,715.20 × 8,697.38
  4. Step 4: Simplify right side
    14,286.38x = 171,470,465.86
  5. Step 5: Solve for x
    x = 171,470,465.86/14,286.38
  6. Step 6: Final answer
    x = 12,002.38

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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.