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Finding the Fourth Proportional to 12,247.82, 16,902.18 and 6,942.53

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Solution

The fourth proportional to 12,247.82, 16,902.18 and 6,942.53 is: 9,580.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,247.82 : 16,902.18 = 6,942.53 : x
  2. Step 2: Convert to fraction form
    12,247.82/16,902.18 = 6,942.53/x
  3. Step 3: Cross multiply
    12,247.82x = 16,902.18 × 6,942.53
  4. Step 4: Simplify right side
    12,247.82x = 117,343,807.20
  5. Step 5: Solve for x
    x = 117,343,807.20/12,247.82
  6. Step 6: Final answer
    x = 9,580.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.