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Finding the Fourth Proportional to 27,680.63, 38,193.45 and 17,605.40

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Solution

The fourth proportional to 27,680.63, 38,193.45 and 17,605.40 is: 24,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,680.63 : 38,193.45 = 17,605.40 : x
  2. Step 2: Convert to fraction form
    27,680.63/38,193.45 = 17,605.40/x
  3. Step 3: Cross multiply
    27,680.63x = 38,193.45 × 17,605.40
  4. Step 4: Simplify right side
    27,680.63x = 672,410,964.63
  5. Step 5: Solve for x
    x = 672,410,964.63/27,680.63
  6. Step 6: Final answer
    x = 24,291.75

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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.