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Finding the Fourth Proportional to 12,186.64, 16,818.10 and 6,881.50

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Solution

The fourth proportional to 12,186.64, 16,818.10 and 6,881.50 is: 9,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.64 : 16,818.10 = 6,881.50 : x
  2. Step 2: Convert to fraction form
    12,186.64/16,818.10 = 6,881.50/x
  3. Step 3: Cross multiply
    12,186.64x = 16,818.10 × 6,881.50
  4. Step 4: Simplify right side
    12,186.64x = 115,733,755.15
  5. Step 5: Solve for x
    x = 115,733,755.15/12,186.64
  6. Step 6: Final answer
    x = 9,496.77

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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.