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Finding the Fourth Proportional to 27,563.22, 41,345.30 and 7,842.30

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Solution

The fourth proportional to 27,563.22, 41,345.30 and 7,842.30 is: 11,763.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,563.22 : 41,345.30 = 7,842.30 : x
  2. Step 2: Convert to fraction form
    27,563.22/41,345.30 = 7,842.30/x
  3. Step 3: Cross multiply
    27,563.22x = 41,345.30 × 7,842.30
  4. Step 4: Simplify right side
    27,563.22x = 324,242,246.19
  5. Step 5: Solve for x
    x = 324,242,246.19/27,563.22
  6. Step 6: Final answer
    x = 11,763.58

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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.