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Finding the Fourth Proportional to 27,073.24, 40,616.51 and 9,304.16

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Solution

The fourth proportional to 27,073.24, 40,616.51 and 9,304.16 is: 13,958.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,073.24 : 40,616.51 = 9,304.16 : x
  2. Step 2: Convert to fraction form
    27,073.24/40,616.51 = 9,304.16/x
  3. Step 3: Cross multiply
    27,073.24x = 40,616.51 × 9,304.16
  4. Step 4: Simplify right side
    27,073.24x = 377,902,258.08
  5. Step 5: Solve for x
    x = 377,902,258.08/27,073.24
  6. Step 6: Final answer
    x = 13,958.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.