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Finding the Fourth Proportional to 12,186.81, 16,818.11 and 7,473.69

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Solution

The fourth proportional to 12,186.81, 16,818.11 and 7,473.69 is: 10,313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.81 : 16,818.11 = 7,473.69 : x
  2. Step 2: Convert to fraction form
    12,186.81/16,818.11 = 7,473.69/x
  3. Step 3: Cross multiply
    12,186.81x = 16,818.11 × 7,473.69
  4. Step 4: Simplify right side
    12,186.81x = 125,693,303.16
  5. Step 5: Solve for x
    x = 125,693,303.16/12,186.81
  6. Step 6: Final answer
    x = 10,313.88

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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.