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Finding the Fourth Proportional to 18,552.74, 27,835.25 and 12,337.20

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Solution

The fourth proportional to 18,552.74, 27,835.25 and 12,337.20 is: 18,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,552.74 : 27,835.25 = 12,337.20 : x
  2. Step 2: Convert to fraction form
    18,552.74/27,835.25 = 12,337.20/x
  3. Step 3: Cross multiply
    18,552.74x = 27,835.25 × 12,337.20
  4. Step 4: Simplify right side
    18,552.74x = 343,408,984.61
  5. Step 5: Solve for x
    x = 343,408,984.61/18,552.74
  6. Step 6: Final answer
    x = 18,509.88

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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.