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Finding the Fourth Proportional to 16,855.72, 25,263.48 and 7,837.65

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Solution

The fourth proportional to 16,855.72, 25,263.48 and 7,837.65 is: 11,747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,855.72 : 25,263.48 = 7,837.65 : x
  2. Step 2: Convert to fraction form
    16,855.72/25,263.48 = 7,837.65/x
  3. Step 3: Cross multiply
    16,855.72x = 25,263.48 × 7,837.65
  4. Step 4: Simplify right side
    16,855.72x = 198,006,284.63
  5. Step 5: Solve for x
    x = 198,006,284.63/16,855.72
  6. Step 6: Final answer
    x = 11,747.13

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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.