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Finding the Fourth Proportional to 27,002.97, 37,290.78 and 17,577

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Solution

The fourth proportional to 27,002.97, 37,290.78 and 17,577 is: 24,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,002.97 : 37,290.78 = 17,577 : x
  2. Step 2: Convert to fraction form
    27,002.97/37,290.78 = 17,577/x
  3. Step 3: Cross multiply
    27,002.97x = 37,290.78 × 17,577
  4. Step 4: Simplify right side
    27,002.97x = 655,460,040.06
  5. Step 5: Solve for x
    x = 655,460,040.06/27,002.97
  6. Step 6: Final answer
    x = 24,273.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.