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Finding the Fourth Proportional to 16,713.50, 25,062.06 and 6,850.10

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Solution

The fourth proportional to 16,713.50, 25,062.06 and 6,850.10 is: 10,271.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,713.50 : 25,062.06 = 6,850.10 : x
  2. Step 2: Convert to fraction form
    16,713.50/25,062.06 = 6,850.10/x
  3. Step 3: Cross multiply
    16,713.50x = 25,062.06 × 6,850.10
  4. Step 4: Simplify right side
    16,713.50x = 171,677,617.21
  5. Step 5: Solve for x
    x = 171,677,617.21/16,713.50
  6. Step 6: Final answer
    x = 10,271.79

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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.