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Finding the Fourth Proportional to 27,713.64, 38,245.86 and 15,138.48

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Solution

The fourth proportional to 27,713.64, 38,245.86 and 15,138.48 is: 20,891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,713.64 : 38,245.86 = 15,138.48 : x
  2. Step 2: Convert to fraction form
    27,713.64/38,245.86 = 15,138.48/x
  3. Step 3: Cross multiply
    27,713.64x = 38,245.86 × 15,138.48
  4. Step 4: Simplify right side
    27,713.64x = 578,984,186.69
  5. Step 5: Solve for x
    x = 578,984,186.69/27,713.64
  6. Step 6: Final answer
    x = 20,891.67

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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.