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Finding the Fourth Proportional to 27,898.50, 41,853.92 and 9,184.30

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Solution

The fourth proportional to 27,898.50, 41,853.92 and 9,184.30 is: 13,778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,898.50 : 41,853.92 = 9,184.30 : x
  2. Step 2: Convert to fraction form
    27,898.50/41,853.92 = 9,184.30/x
  3. Step 3: Cross multiply
    27,898.50x = 41,853.92 × 9,184.30
  4. Step 4: Simplify right side
    27,898.50x = 384,398,957.46
  5. Step 5: Solve for x
    x = 384,398,957.46/27,898.50
  6. Step 6: Final answer
    x = 13,778.48

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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.