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Finding the Fourth Proportional to 12,186.68, 16,815.14 and 7,409.19

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Solution

The fourth proportional to 12,186.68, 16,815.14 and 7,409.19 is: 10,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.68 : 16,815.14 = 7,409.19 : x
  2. Step 2: Convert to fraction form
    12,186.68/16,815.14 = 7,409.19/x
  3. Step 3: Cross multiply
    12,186.68x = 16,815.14 × 7,409.19
  4. Step 4: Simplify right side
    12,186.68x = 124,586,567.14
  5. Step 5: Solve for x
    x = 124,586,567.14/12,186.68
  6. Step 6: Final answer
    x = 10,223.18

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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.