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Finding the Fourth Proportional to 12,247.85, 16,902.16 and 6,658.85

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Solution

The fourth proportional to 12,247.85, 16,902.16 and 6,658.85 is: 9,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,247.85 : 16,902.16 = 6,658.85 : x
  2. Step 2: Convert to fraction form
    12,247.85/16,902.16 = 6,658.85/x
  3. Step 3: Cross multiply
    12,247.85x = 16,902.16 × 6,658.85
  4. Step 4: Simplify right side
    12,247.85x = 112,548,948.12
  5. Step 5: Solve for x
    x = 112,548,948.12/12,247.85
  6. Step 6: Final answer
    x = 9,189.28

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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.