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Finding the Fourth Proportional to 12,236.16, 16,884.48 and 6,930

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Solution

The fourth proportional to 12,236.16, 16,884.48 and 6,930 is: 9,562.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,236.16 : 16,884.48 = 6,930 : x
  2. Step 2: Convert to fraction form
    12,236.16/16,884.48 = 6,930/x
  3. Step 3: Cross multiply
    12,236.16x = 16,884.48 × 6,930
  4. Step 4: Simplify right side
    12,236.16x = 117,009,446.40
  5. Step 5: Solve for x
    x = 117,009,446.40/12,236.16
  6. Step 6: Final answer
    x = 9,562.60

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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.