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Finding the Fourth Proportional to 12,204.42, 16,842.06 and 6,615.42

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Solution

The fourth proportional to 12,204.42, 16,842.06 and 6,615.42 is: 9,129.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.42 : 16,842.06 = 6,615.42 : x
  2. Step 2: Convert to fraction form
    12,204.42/16,842.06 = 6,615.42/x
  3. Step 3: Cross multiply
    12,204.42x = 16,842.06 × 6,615.42
  4. Step 4: Simplify right side
    12,204.42x = 111,417,300.57
  5. Step 5: Solve for x
    x = 111,417,300.57/12,204.42
  6. Step 6: Final answer
    x = 9,129.26

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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.