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Finding the Fourth Proportional to 21,981.69, 32,969.17 and 7,190.73

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Solution

The fourth proportional to 21,981.69, 32,969.17 and 7,190.73 is: 10,784.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,981.69 : 32,969.17 = 7,190.73 : x
  2. Step 2: Convert to fraction form
    21,981.69/32,969.17 = 7,190.73/x
  3. Step 3: Cross multiply
    21,981.69x = 32,969.17 × 7,190.73
  4. Step 4: Simplify right side
    21,981.69x = 237,072,399.79
  5. Step 5: Solve for x
    x = 237,072,399.79/21,981.69
  6. Step 6: Final answer
    x = 10,784.99

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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.