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Finding the Fourth Proportional to 27,914.34, 41,870.94 and 8,192.46

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Solution

The fourth proportional to 27,914.34, 41,870.94 and 8,192.46 is: 12,288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,914.34 : 41,870.94 = 8,192.46 : x
  2. Step 2: Convert to fraction form
    27,914.34/41,870.94 = 8,192.46/x
  3. Step 3: Cross multiply
    27,914.34x = 41,870.94 × 8,192.46
  4. Step 4: Simplify right side
    27,914.34x = 343,026,001.11
  5. Step 5: Solve for x
    x = 343,026,001.11/27,914.34
  6. Step 6: Final answer
    x = 12,288.52

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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.