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Finding the Fourth Proportional to 27,170.72, 37,494.24 and 15,992

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Solution

The fourth proportional to 27,170.72, 37,494.24 and 15,992 is: 22,068.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,170.72 : 37,494.24 = 15,992 : x
  2. Step 2: Convert to fraction form
    27,170.72/37,494.24 = 15,992/x
  3. Step 3: Cross multiply
    27,170.72x = 37,494.24 × 15,992
  4. Step 4: Simplify right side
    27,170.72x = 599,607,886.08
  5. Step 5: Solve for x
    x = 599,607,886.08/27,170.72
  6. Step 6: Final answer
    x = 22,068.16

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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.