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Finding the Fourth Proportional to 27,898.34, 41,846.96 and 8,176.46

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Solution

The fourth proportional to 27,898.34, 41,846.96 and 8,176.46 is: 12,264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,898.34 : 41,846.96 = 8,176.46 : x
  2. Step 2: Convert to fraction form
    27,898.34/41,846.96 = 8,176.46/x
  3. Step 3: Cross multiply
    27,898.34x = 41,846.96 × 8,176.46
  4. Step 4: Simplify right side
    27,898.34x = 342,159,994.56
  5. Step 5: Solve for x
    x = 342,159,994.56/27,898.34
  6. Step 6: Final answer
    x = 12,264.53

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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.