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Finding the Fourth Proportional to 27,093.62, 40,615.83 and 12,294.50

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Solution

The fourth proportional to 27,093.62, 40,615.83 and 12,294.50 is: 18,430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,093.62 : 40,615.83 = 12,294.50 : x
  2. Step 2: Convert to fraction form
    27,093.62/40,615.83 = 12,294.50/x
  3. Step 3: Cross multiply
    27,093.62x = 40,615.83 × 12,294.50
  4. Step 4: Simplify right side
    27,093.62x = 499,351,118.86
  5. Step 5: Solve for x
    x = 499,351,118.86/27,093.62
  6. Step 6: Final answer
    x = 18,430.58

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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.