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Finding the Fourth Proportional to 21,076.71, 31,640.54 and 9,842.73

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Solution

The fourth proportional to 21,076.71, 31,640.54 and 9,842.73 is: 14,775.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,076.71 : 31,640.54 = 9,842.73 : x
  2. Step 2: Convert to fraction form
    21,076.71/31,640.54 = 9,842.73/x
  3. Step 3: Cross multiply
    21,076.71x = 31,640.54 × 9,842.73
  4. Step 4: Simplify right side
    21,076.71x = 311,429,243.06
  5. Step 5: Solve for x
    x = 311,429,243.06/21,076.71
  6. Step 6: Final answer
    x = 14,775.99

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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.