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Finding the Fourth Proportional to 19,843.83, 29,767.50 and 7,364.00

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Solution

The fourth proportional to 19,843.83, 29,767.50 and 7,364.00 is: 11,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,843.83 : 29,767.50 = 7,364.00 : x
  2. Step 2: Convert to fraction form
    19,843.83/29,767.50 = 7,364.00/x
  3. Step 3: Cross multiply
    19,843.83x = 29,767.50 × 7,364.00
  4. Step 4: Simplify right side
    19,843.83x = 219,207,721.16
  5. Step 5: Solve for x
    x = 219,207,721.16/19,843.83
  6. Step 6: Final answer
    x = 11,046.64

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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.