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Finding the Fourth Proportional to 21,178.33, 31,768.31 and 7,139.01

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Solution

The fourth proportional to 21,178.33, 31,768.31 and 7,139.01 is: 10,708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.33 : 31,768.31 = 7,139.01 : x
  2. Step 2: Convert to fraction form
    21,178.33/31,768.31 = 7,139.01/x
  3. Step 3: Cross multiply
    21,178.33x = 31,768.31 × 7,139.01
  4. Step 4: Simplify right side
    21,178.33x = 226,794,282.77
  5. Step 5: Solve for x
    x = 226,794,282.77/21,178.33
  6. Step 6: Final answer
    x = 10,708.79

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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.