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Finding the Fourth Proportional to 19,530.10, 29,296.51 and 7,843.31

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Solution

The fourth proportional to 19,530.10, 29,296.51 and 7,843.31 is: 11,765.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,530.10 : 29,296.51 = 7,843.31 : x
  2. Step 2: Convert to fraction form
    19,530.10/29,296.51 = 7,843.31/x
  3. Step 3: Cross multiply
    19,530.10x = 29,296.51 × 7,843.31
  4. Step 4: Simplify right side
    19,530.10x = 229,781,663.48
  5. Step 5: Solve for x
    x = 229,781,663.48/19,530.10
  6. Step 6: Final answer
    x = 11,765.52

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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.