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Finding the Fourth Proportional to 16,859.96, 25,288.40 and 7,500.42

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Solution

The fourth proportional to 16,859.96, 25,288.40 and 7,500.42 is: 11,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,859.96 : 25,288.40 = 7,500.42 : x
  2. Step 2: Convert to fraction form
    16,859.96/25,288.40 = 7,500.42/x
  3. Step 3: Cross multiply
    16,859.96x = 25,288.40 × 7,500.42
  4. Step 4: Simplify right side
    16,859.96x = 189,673,621.13
  5. Step 5: Solve for x
    x = 189,673,621.13/16,859.96
  6. Step 6: Final answer
    x = 11,249.94

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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.