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Finding the Fourth Proportional to 21,711.21, 32,569.38 and 6,914.94

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Solution

The fourth proportional to 21,711.21, 32,569.38 and 6,914.94 is: 10,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,711.21 : 32,569.38 = 6,914.94 : x
  2. Step 2: Convert to fraction form
    21,711.21/32,569.38 = 6,914.94/x
  3. Step 3: Cross multiply
    21,711.21x = 32,569.38 × 6,914.94
  4. Step 4: Simplify right side
    21,711.21x = 225,215,308.54
  5. Step 5: Solve for x
    x = 225,215,308.54/21,711.21
  6. Step 6: Final answer
    x = 10,373.23

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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.