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Finding the Fourth Proportional to 20,802.13, 31,197.03 and 6,011.18

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Solution

The fourth proportional to 20,802.13, 31,197.03 and 6,011.18 is: 9,014.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.13 : 31,197.03 = 6,011.18 : x
  2. Step 2: Convert to fraction form
    20,802.13/31,197.03 = 6,011.18/x
  3. Step 3: Cross multiply
    20,802.13x = 31,197.03 × 6,011.18
  4. Step 4: Simplify right side
    20,802.13x = 187,530,962.80
  5. Step 5: Solve for x
    x = 187,530,962.80/20,802.13
  6. Step 6: Final answer
    x = 9,014.99

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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.