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Finding the Fourth Proportional to 13,498.17, 20,251.44 and 4,733.97

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Solution

The fourth proportional to 13,498.17, 20,251.44 and 4,733.97 is: 7,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.17 : 20,251.44 = 4,733.97 : x
  2. Step 2: Convert to fraction form
    13,498.17/20,251.44 = 4,733.97/x
  3. Step 3: Cross multiply
    13,498.17x = 20,251.44 × 4,733.97
  4. Step 4: Simplify right side
    13,498.17x = 95,869,709.42
  5. Step 5: Solve for x
    x = 95,869,709.42/13,498.17
  6. Step 6: Final answer
    x = 7,102.42

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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.