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Finding the Fourth Proportional to 27,243.90, 40,841.24 and 9,709.63

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Solution

The fourth proportional to 27,243.90, 40,841.24 and 9,709.63 is: 14,555.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,243.90 : 40,841.24 = 9,709.63 : x
  2. Step 2: Convert to fraction form
    27,243.90/40,841.24 = 9,709.63/x
  3. Step 3: Cross multiply
    27,243.90x = 40,841.24 × 9,709.63
  4. Step 4: Simplify right side
    27,243.90x = 396,553,178.49
  5. Step 5: Solve for x
    x = 396,553,178.49/27,243.90
  6. Step 6: Final answer
    x = 14,555.67

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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.