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Finding the Fourth Proportional to 21,311.69, 31,945.24 and 7,266.80

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Solution

The fourth proportional to 21,311.69, 31,945.24 and 7,266.80 is: 10,892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,311.69 : 31,945.24 = 7,266.80 : x
  2. Step 2: Convert to fraction form
    21,311.69/31,945.24 = 7,266.80/x
  3. Step 3: Cross multiply
    21,311.69x = 31,945.24 × 7,266.80
  4. Step 4: Simplify right side
    21,311.69x = 232,139,510.31
  5. Step 5: Solve for x
    x = 232,139,510.31/21,311.69
  6. Step 6: Final answer
    x = 10,892.59

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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.