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Finding the Fourth Proportional to 19,767.60, 29,663.09 and 7,296.30

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Solution

The fourth proportional to 19,767.60, 29,663.09 and 7,296.30 is: 10,948.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,767.60 : 29,663.09 = 7,296.30 : x
  2. Step 2: Convert to fraction form
    19,767.60/29,663.09 = 7,296.30/x
  3. Step 3: Cross multiply
    19,767.60x = 29,663.09 × 7,296.30
  4. Step 4: Simplify right side
    19,767.60x = 216,430,767.09
  5. Step 5: Solve for x
    x = 216,430,767.09/19,767.60
  6. Step 6: Final answer
    x = 10,948.76

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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.