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Finding the Fourth Proportional to 20,135.69, 27,777.61 and 14,170.67

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Solution

The fourth proportional to 20,135.69, 27,777.61 and 14,170.67 is: 19,548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,135.69 : 27,777.61 = 14,170.67 : x
  2. Step 2: Convert to fraction form
    20,135.69/27,777.61 = 14,170.67/x
  3. Step 3: Cross multiply
    20,135.69x = 27,777.61 × 14,170.67
  4. Step 4: Simplify right side
    20,135.69x = 393,627,344.70
  5. Step 5: Solve for x
    x = 393,627,344.70/20,135.69
  6. Step 6: Final answer
    x = 19,548.74

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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.