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Finding the Fourth Proportional to 14,697.82, 22,049.16 and 6,808.22

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Solution

The fourth proportional to 14,697.82, 22,049.16 and 6,808.22 is: 10,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.82 : 22,049.16 = 6,808.22 : x
  2. Step 2: Convert to fraction form
    14,697.82/22,049.16 = 6,808.22/x
  3. Step 3: Cross multiply
    14,697.82x = 22,049.16 × 6,808.22
  4. Step 4: Simplify right side
    14,697.82x = 150,115,387.81
  5. Step 5: Solve for x
    x = 150,115,387.81/14,697.82
  6. Step 6: Final answer
    x = 10,213.45

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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.