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Finding the Fourth Proportional to 16,835.84, 25,251.78 and 5,149.16

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Solution

The fourth proportional to 16,835.84, 25,251.78 and 5,149.16 is: 7,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,835.84 : 25,251.78 = 5,149.16 : x
  2. Step 2: Convert to fraction form
    16,835.84/25,251.78 = 5,149.16/x
  3. Step 3: Cross multiply
    16,835.84x = 25,251.78 × 5,149.16
  4. Step 4: Simplify right side
    16,835.84x = 130,025,455.50
  5. Step 5: Solve for x
    x = 130,025,455.50/16,835.84
  6. Step 6: Final answer
    x = 7,723.13

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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.