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Finding the Fourth Proportional to 21,605.62, 32,411.76 and 6,813.22

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Solution

The fourth proportional to 21,605.62, 32,411.76 and 6,813.22 is: 10,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,605.62 : 32,411.76 = 6,813.22 : x
  2. Step 2: Convert to fraction form
    21,605.62/32,411.76 = 6,813.22/x
  3. Step 3: Cross multiply
    21,605.62x = 32,411.76 × 6,813.22
  4. Step 4: Simplify right side
    21,605.62x = 220,828,451.47
  5. Step 5: Solve for x
    x = 220,828,451.47/21,605.62
  6. Step 6: Final answer
    x = 10,220.88

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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.