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Finding the Fourth Proportional to 16,207.11, 24,313.95 and 6,847.11

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Solution

The fourth proportional to 16,207.11, 24,313.95 and 6,847.11 is: 10,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,207.11 : 24,313.95 = 6,847.11 : x
  2. Step 2: Convert to fraction form
    16,207.11/24,313.95 = 6,847.11/x
  3. Step 3: Cross multiply
    16,207.11x = 24,313.95 × 6,847.11
  4. Step 4: Simplify right side
    16,207.11x = 166,480,290.18
  5. Step 5: Solve for x
    x = 166,480,290.18/16,207.11
  6. Step 6: Final answer
    x = 10,272.05

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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.