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Finding the Fourth Proportional to 13,398.46, 20,098.67 and 3,537.63

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Solution

The fourth proportional to 13,398.46, 20,098.67 and 3,537.63 is: 5,306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.46 : 20,098.67 = 3,537.63 : x
  2. Step 2: Convert to fraction form
    13,398.46/20,098.67 = 3,537.63/x
  3. Step 3: Cross multiply
    13,398.46x = 20,098.67 × 3,537.63
  4. Step 4: Simplify right side
    13,398.46x = 71,101,657.95
  5. Step 5: Solve for x
    x = 71,101,657.95/13,398.46
  6. Step 6: Final answer
    x = 5,306.70

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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.