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Finding the Fourth Proportional to 19,837.83, 29,758.49 and 7,357.99

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Solution

The fourth proportional to 19,837.83, 29,758.49 and 7,357.99 is: 11,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,837.83 : 29,758.49 = 7,357.99 : x
  2. Step 2: Convert to fraction form
    19,837.83/29,758.49 = 7,357.99/x
  3. Step 3: Cross multiply
    19,837.83x = 29,758.49 × 7,357.99
  4. Step 4: Simplify right side
    19,837.83x = 218,962,644.04
  5. Step 5: Solve for x
    x = 218,962,644.04/19,837.83
  6. Step 6: Final answer
    x = 11,037.63

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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.