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Finding the Fourth Proportional to 27,512.26, 37,967.36 and 14,937

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Solution

The fourth proportional to 27,512.26, 37,967.36 and 14,937 is: 20,613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,512.26 : 37,967.36 = 14,937 : x
  2. Step 2: Convert to fraction form
    27,512.26/37,967.36 = 14,937/x
  3. Step 3: Cross multiply
    27,512.26x = 37,967.36 × 14,937
  4. Step 4: Simplify right side
    27,512.26x = 567,118,456.32
  5. Step 5: Solve for x
    x = 567,118,456.32/27,512.26
  6. Step 6: Final answer
    x = 20,613.30

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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.