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Finding the Fourth Proportional to 12,187.20, 16,818.12 and 6,881.64

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Solution

The fourth proportional to 12,187.20, 16,818.12 and 6,881.64 is: 9,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.20 : 16,818.12 = 6,881.64 : x
  2. Step 2: Convert to fraction form
    12,187.20/16,818.12 = 6,881.64/x
  3. Step 3: Cross multiply
    12,187.20x = 16,818.12 × 6,881.64
  4. Step 4: Simplify right side
    12,187.20x = 115,736,247.32
  5. Step 5: Solve for x
    x = 115,736,247.32/12,187.20
  6. Step 6: Final answer
    x = 9,496.54

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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.