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Finding the Fourth Proportional to 27,125.32, 40,679.34 and 8,653

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Solution

The fourth proportional to 27,125.32, 40,679.34 and 8,653 is: 12,976.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,125.32 : 40,679.34 = 8,653 : x
  2. Step 2: Convert to fraction form
    27,125.32/40,679.34 = 8,653/x
  3. Step 3: Cross multiply
    27,125.32x = 40,679.34 × 8,653
  4. Step 4: Simplify right side
    27,125.32x = 351,998,329.02
  5. Step 5: Solve for x
    x = 351,998,329.02/27,125.32
  6. Step 6: Final answer
    x = 12,976.74

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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.