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Finding the Fourth Proportional to 27,772.48, 41,664.48 and 9,304

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Solution

The fourth proportional to 27,772.48, 41,664.48 and 9,304 is: 13,957.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.48 : 41,664.48 = 9,304 : x
  2. Step 2: Convert to fraction form
    27,772.48/41,664.48 = 9,304/x
  3. Step 3: Cross multiply
    27,772.48x = 41,664.48 × 9,304
  4. Step 4: Simplify right side
    27,772.48x = 387,646,321.92
  5. Step 5: Solve for x
    x = 387,646,321.92/27,772.48
  6. Step 6: Final answer
    x = 13,957.93

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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.