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Finding the Fourth Proportional to 16,717.98, 25,077 and 4,238

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Solution

The fourth proportional to 16,717.98, 25,077 and 4,238 is: 6,357.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,717.98 : 25,077 = 4,238 : x
  2. Step 2: Convert to fraction form
    16,717.98/25,077 = 4,238/x
  3. Step 3: Cross multiply
    16,717.98x = 25,077 × 4,238
  4. Step 4: Simplify right side
    16,717.98x = 106,276,326
  5. Step 5: Solve for x
    x = 106,276,326/16,717.98
  6. Step 6: Final answer
    x = 6,357.01

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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.