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Finding the Fourth Proportional to 27,184.92, 40,743.88 and 12,960.87

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Solution

The fourth proportional to 27,184.92, 40,743.88 and 12,960.87 is: 19,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,184.92 : 40,743.88 = 12,960.87 : x
  2. Step 2: Convert to fraction form
    27,184.92/40,743.88 = 12,960.87/x
  3. Step 3: Cross multiply
    27,184.92x = 40,743.88 × 12,960.87
  4. Step 4: Simplify right side
    27,184.92x = 528,076,131.98
  5. Step 5: Solve for x
    x = 528,076,131.98/27,184.92
  6. Step 6: Final answer
    x = 19,425.33

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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.