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Finding the Fourth Proportional to 12,031.38, 16,606.15 and 7,314.75

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Solution

The fourth proportional to 12,031.38, 16,606.15 and 7,314.75 is: 10,096.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.38 : 16,606.15 = 7,314.75 : x
  2. Step 2: Convert to fraction form
    12,031.38/16,606.15 = 7,314.75/x
  3. Step 3: Cross multiply
    12,031.38x = 16,606.15 × 7,314.75
  4. Step 4: Simplify right side
    12,031.38x = 121,469,817.43
  5. Step 5: Solve for x
    x = 121,469,817.43/12,031.38
  6. Step 6: Final answer
    x = 10,096.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.