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Finding the Fourth Proportional to 16,894.50, 25,345.11 and 5,207.22

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Solution

The fourth proportional to 16,894.50, 25,345.11 and 5,207.22 is: 7,811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894.50 : 25,345.11 = 5,207.22 : x
  2. Step 2: Convert to fraction form
    16,894.50/25,345.11 = 5,207.22/x
  3. Step 3: Cross multiply
    16,894.50x = 25,345.11 × 5,207.22
  4. Step 4: Simplify right side
    16,894.50x = 131,977,563.69
  5. Step 5: Solve for x
    x = 131,977,563.69/16,894.50
  6. Step 6: Final answer
    x = 7,811.87

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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.