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Finding the Fourth Proportional to 12,186.25, 16,818.20 and 7,405.14

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Solution

The fourth proportional to 12,186.25, 16,818.20 and 7,405.14 is: 10,219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.25 : 16,818.20 = 7,405.14 : x
  2. Step 2: Convert to fraction form
    12,186.25/16,818.20 = 7,405.14/x
  3. Step 3: Cross multiply
    12,186.25x = 16,818.20 × 7,405.14
  4. Step 4: Simplify right side
    12,186.25x = 124,541,084.76
  5. Step 5: Solve for x
    x = 124,541,084.76/12,186.25
  6. Step 6: Final answer
    x = 10,219.81

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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.