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Finding the Fourth Proportional to 21,328.31, 31,992.46 and 7,288.46

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Solution

The fourth proportional to 21,328.31, 31,992.46 and 7,288.46 is: 10,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,328.31 : 31,992.46 = 7,288.46 : x
  2. Step 2: Convert to fraction form
    21,328.31/31,992.46 = 7,288.46/x
  3. Step 3: Cross multiply
    21,328.31x = 31,992.46 × 7,288.46
  4. Step 4: Simplify right side
    21,328.31x = 233,175,577.72
  5. Step 5: Solve for x
    x = 233,175,577.72/21,328.31
  6. Step 6: Final answer
    x = 10,932.68

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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.