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Finding the Fourth Proportional to 19,529.78, 29,296.04 and 7,843

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Solution

The fourth proportional to 19,529.78, 29,296.04 and 7,843 is: 11,765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,529.78 : 29,296.04 = 7,843 : x
  2. Step 2: Convert to fraction form
    19,529.78/29,296.04 = 7,843/x
  3. Step 3: Cross multiply
    19,529.78x = 29,296.04 × 7,843
  4. Step 4: Simplify right side
    19,529.78x = 229,768,841.72
  5. Step 5: Solve for x
    x = 229,768,841.72/19,529.78
  6. Step 6: Final answer
    x = 11,765.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.