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Finding the Fourth Proportional to 27,514.23, 37,969.79 and 16,184.22

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Solution

The fourth proportional to 27,514.23, 37,969.79 and 16,184.22 is: 22,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,514.23 : 37,969.79 = 16,184.22 : x
  2. Step 2: Convert to fraction form
    27,514.23/37,969.79 = 16,184.22/x
  3. Step 3: Cross multiply
    27,514.23x = 37,969.79 × 16,184.22
  4. Step 4: Simplify right side
    27,514.23x = 614,511,434.71
  5. Step 5: Solve for x
    x = 614,511,434.71/27,514.23
  6. Step 6: Final answer
    x = 22,334.31

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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.