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Finding the Fourth Proportional to 27,514, 37,970.14 and 14,939.56

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Solution

The fourth proportional to 27,514, 37,970.14 and 14,939.56 is: 20,617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,514 : 37,970.14 = 14,939.56 : x
  2. Step 2: Convert to fraction form
    27,514/37,970.14 = 14,939.56/x
  3. Step 3: Cross multiply
    27,514x = 37,970.14 × 14,939.56
  4. Step 4: Simplify right side
    27,514x = 567,257,184.74
  5. Step 5: Solve for x
    x = 567,257,184.74/27,514
  6. Step 6: Final answer
    x = 20,617.04

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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.