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Finding the Fourth Proportional to 13,519.34, 20,279.12 and 3,658.70

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Solution

The fourth proportional to 13,519.34, 20,279.12 and 3,658.70 is: 5,488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,519.34 : 20,279.12 = 3,658.70 : x
  2. Step 2: Convert to fraction form
    13,519.34/20,279.12 = 3,658.70/x
  3. Step 3: Cross multiply
    13,519.34x = 20,279.12 × 3,658.70
  4. Step 4: Simplify right side
    13,519.34x = 74,195,216.34
  5. Step 5: Solve for x
    x = 74,195,216.34/13,519.34
  6. Step 6: Final answer
    x = 5,488.08

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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.