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Finding the Fourth Proportional to 18,563.58, 27,842.13 and 9,200.52

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Solution

The fourth proportional to 18,563.58, 27,842.13 and 9,200.52 is: 13,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,563.58 : 27,842.13 = 9,200.52 : x
  2. Step 2: Convert to fraction form
    18,563.58/27,842.13 = 9,200.52/x
  3. Step 3: Cross multiply
    18,563.58x = 27,842.13 × 9,200.52
  4. Step 4: Simplify right side
    18,563.58x = 256,162,073.91
  5. Step 5: Solve for x
    x = 256,162,073.91/18,563.58
  6. Step 6: Final answer
    x = 13,799.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.