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Finding the Fourth Proportional to 12,134.09, 18,177.03 and 8,376.50

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Solution

The fourth proportional to 12,134.09, 18,177.03 and 8,376.50 is: 12,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.09 : 18,177.03 = 8,376.50 : x
  2. Step 2: Convert to fraction form
    12,134.09/18,177.03 = 8,376.50/x
  3. Step 3: Cross multiply
    12,134.09x = 18,177.03 × 8,376.50
  4. Step 4: Simplify right side
    12,134.09x = 152,259,800.91
  5. Step 5: Solve for x
    x = 152,259,800.91/12,134.09
  6. Step 6: Final answer
    x = 12,548.11

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Why These Related Problems?

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