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Finding the Fourth Proportional to 21,177.99, 31,760.51 and 7,323.75

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Solution

The fourth proportional to 21,177.99, 31,760.51 and 7,323.75 is: 10,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,177.99 : 31,760.51 = 7,323.75 : x
  2. Step 2: Convert to fraction form
    21,177.99/31,760.51 = 7,323.75/x
  3. Step 3: Cross multiply
    21,177.99x = 31,760.51 × 7,323.75
  4. Step 4: Simplify right side
    21,177.99x = 232,605,998.49
  5. Step 5: Solve for x
    x = 232,605,998.49/21,177.99
  6. Step 6: Final answer
    x = 10,983.38

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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.