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Finding the Fourth Proportional to 12,204.14, 16,841.59 and 6,615.14

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Solution

The fourth proportional to 12,204.14, 16,841.59 and 6,615.14 is: 9,128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.14 : 16,841.59 = 6,615.14 : x
  2. Step 2: Convert to fraction form
    12,204.14/16,841.59 = 6,615.14/x
  3. Step 3: Cross multiply
    12,204.14x = 16,841.59 × 6,615.14
  4. Step 4: Simplify right side
    12,204.14x = 111,409,374.93
  5. Step 5: Solve for x
    x = 111,409,374.93/12,204.14
  6. Step 6: Final answer
    x = 9,128.82

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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.