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Finding the Fourth Proportional to 21,400.71, 32,108.67 and 9,553.41

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Solution

The fourth proportional to 21,400.71, 32,108.67 and 9,553.41 is: 14,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400.71 : 32,108.67 = 9,553.41 : x
  2. Step 2: Convert to fraction form
    21,400.71/32,108.67 = 9,553.41/x
  3. Step 3: Cross multiply
    21,400.71x = 32,108.67 × 9,553.41
  4. Step 4: Simplify right side
    21,400.71x = 306,747,289.06
  5. Step 5: Solve for x
    x = 306,747,289.06/21,400.71
  6. Step 6: Final answer
    x = 14,333.51

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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.