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Finding the Fourth Proportional to 20,005.18, 30,006.97 and 5,214.22

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Solution

The fourth proportional to 20,005.18, 30,006.97 and 5,214.22 is: 7,821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005.18 : 30,006.97 = 5,214.22 : x
  2. Step 2: Convert to fraction form
    20,005.18/30,006.97 = 5,214.22/x
  3. Step 3: Cross multiply
    20,005.18x = 30,006.97 × 5,214.22
  4. Step 4: Simplify right side
    20,005.18x = 156,462,943.11
  5. Step 5: Solve for x
    x = 156,462,943.11/20,005.18
  6. Step 6: Final answer
    x = 7,821.12

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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.