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Finding the Fourth Proportional to 21,173.34, 31,760.02 and 7,322.34

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Solution

The fourth proportional to 21,173.34, 31,760.02 and 7,322.34 is: 10,983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,173.34 : 31,760.02 = 7,322.34 : x
  2. Step 2: Convert to fraction form
    21,173.34/31,760.02 = 7,322.34/x
  3. Step 3: Cross multiply
    21,173.34x = 31,760.02 × 7,322.34
  4. Step 4: Simplify right side
    21,173.34x = 232,557,793.10
  5. Step 5: Solve for x
    x = 232,557,793.10/21,173.34
  6. Step 6: Final answer
    x = 10,983.52

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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.