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Finding the Fourth Proportional to 12,031.81, 16,603.54 and 6,654.69

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Solution

The fourth proportional to 12,031.81, 16,603.54 and 6,654.69 is: 9,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.81 : 16,603.54 = 6,654.69 : x
  2. Step 2: Convert to fraction form
    12,031.81/16,603.54 = 6,654.69/x
  3. Step 3: Cross multiply
    12,031.81x = 16,603.54 × 6,654.69
  4. Step 4: Simplify right side
    12,031.81x = 110,491,394.97
  5. Step 5: Solve for x
    x = 110,491,394.97/12,031.81
  6. Step 6: Final answer
    x = 9,183.27

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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.