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Finding the Fourth Proportional to 27,764.92, 38,316.49 and 15,189.67

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Solution

The fourth proportional to 27,764.92, 38,316.49 and 15,189.67 is: 20,962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,764.92 : 38,316.49 = 15,189.67 : x
  2. Step 2: Convert to fraction form
    27,764.92/38,316.49 = 15,189.67/x
  3. Step 3: Cross multiply
    27,764.92x = 38,316.49 × 15,189.67
  4. Step 4: Simplify right side
    27,764.92x = 582,014,838.66
  5. Step 5: Solve for x
    x = 582,014,838.66/27,764.92
  6. Step 6: Final answer
    x = 20,962.24

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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.