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Finding the Fourth Proportional to 27,881.22, 41,792.64 and 9,156.48

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Solution

The fourth proportional to 27,881.22, 41,792.64 and 9,156.48 is: 13,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,881.22 : 41,792.64 = 9,156.48 : x
  2. Step 2: Convert to fraction form
    27,881.22/41,792.64 = 9,156.48/x
  3. Step 3: Cross multiply
    27,881.22x = 41,792.64 × 9,156.48
  4. Step 4: Simplify right side
    27,881.22x = 382,673,472.31
  5. Step 5: Solve for x
    x = 382,673,472.31/27,881.22
  6. Step 6: Final answer
    x = 13,725.13

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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.