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Finding the Fourth Proportional to 21,296.08, 31,945.74 and 7,251.76

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Solution

The fourth proportional to 21,296.08, 31,945.74 and 7,251.76 is: 10,878.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,296.08 : 31,945.74 = 7,251.76 : x
  2. Step 2: Convert to fraction form
    21,296.08/31,945.74 = 7,251.76/x
  3. Step 3: Cross multiply
    21,296.08x = 31,945.74 × 7,251.76
  4. Step 4: Simplify right side
    21,296.08x = 231,662,839.50
  5. Step 5: Solve for x
    x = 231,662,839.50/21,296.08
  6. Step 6: Final answer
    x = 10,878.19

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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.