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Finding the Fourth Proportional to 27,304, 40,955.97 and 8,585.39

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Solution

The fourth proportional to 27,304, 40,955.97 and 8,585.39 is: 12,878.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,304 : 40,955.97 = 8,585.39 : x
  2. Step 2: Convert to fraction form
    27,304/40,955.97 = 8,585.39/x
  3. Step 3: Cross multiply
    27,304x = 40,955.97 × 8,585.39
  4. Step 4: Simplify right side
    27,304x = 351,622,975.28
  5. Step 5: Solve for x
    x = 351,622,975.28/27,304
  6. Step 6: Final answer
    x = 12,878.08

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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.