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Finding the Fourth Proportional to 12,106.72, 18,165.24 and 6,842.44

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Solution

The fourth proportional to 12,106.72, 18,165.24 and 6,842.44 is: 10,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.72 : 18,165.24 = 6,842.44 : x
  2. Step 2: Convert to fraction form
    12,106.72/18,165.24 = 6,842.44/x
  3. Step 3: Cross multiply
    12,106.72x = 18,165.24 × 6,842.44
  4. Step 4: Simplify right side
    12,106.72x = 124,294,564.79
  5. Step 5: Solve for x
    x = 124,294,564.79/12,106.72
  6. Step 6: Final answer
    x = 10,266.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.