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Finding the Fourth Proportional to 21,324.60, 31,990.54 and 7,283.85

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Solution

The fourth proportional to 21,324.60, 31,990.54 and 7,283.85 is: 10,927.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,324.60 : 31,990.54 = 7,283.85 : x
  2. Step 2: Convert to fraction form
    21,324.60/31,990.54 = 7,283.85/x
  3. Step 3: Cross multiply
    21,324.60x = 31,990.54 × 7,283.85
  4. Step 4: Simplify right side
    21,324.60x = 233,014,294.78
  5. Step 5: Solve for x
    x = 233,014,294.78/21,324.60
  6. Step 6: Final answer
    x = 10,927.02

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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.