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Finding the Fourth Proportional to 27,109.24, 40,663.38 and 10,693.24

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Solution

The fourth proportional to 27,109.24, 40,663.38 and 10,693.24 is: 16,039.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,109.24 : 40,663.38 = 10,693.24 : x
  2. Step 2: Convert to fraction form
    27,109.24/40,663.38 = 10,693.24/x
  3. Step 3: Cross multiply
    27,109.24x = 40,663.38 × 10,693.24
  4. Step 4: Simplify right side
    27,109.24x = 434,823,281.55
  5. Step 5: Solve for x
    x = 434,823,281.55/27,109.24
  6. Step 6: Final answer
    x = 16,039.67

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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.