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Finding the Fourth Proportional to 27,911.04, 41,872.68 and 9,190.32

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Solution

The fourth proportional to 27,911.04, 41,872.68 and 9,190.32 is: 13,787.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,911.04 : 41,872.68 = 9,190.32 : x
  2. Step 2: Convert to fraction form
    27,911.04/41,872.68 = 9,190.32/x
  3. Step 3: Cross multiply
    27,911.04x = 41,872.68 × 9,190.32
  4. Step 4: Simplify right side
    27,911.04x = 384,823,328.46
  5. Step 5: Solve for x
    x = 384,823,328.46/27,911.04
  6. Step 6: Final answer
    x = 13,787.50

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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.