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Finding the Fourth Proportional to 16,822.72, 25,237.04 and 6,956.47

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Solution

The fourth proportional to 16,822.72, 25,237.04 and 6,956.47 is: 10,435.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.72 : 25,237.04 = 6,956.47 : x
  2. Step 2: Convert to fraction form
    16,822.72/25,237.04 = 6,956.47/x
  3. Step 3: Cross multiply
    16,822.72x = 25,237.04 × 6,956.47
  4. Step 4: Simplify right side
    16,822.72x = 175,560,711.65
  5. Step 5: Solve for x
    x = 175,560,711.65/16,822.72
  6. Step 6: Final answer
    x = 10,435.93

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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.