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Finding the Fourth Proportional to 13,697.70, 20,537.26 and 5,372.52

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Solution

The fourth proportional to 13,697.70, 20,537.26 and 5,372.52 is: 8,055.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.70 : 20,537.26 = 5,372.52 : x
  2. Step 2: Convert to fraction form
    13,697.70/20,537.26 = 5,372.52/x
  3. Step 3: Cross multiply
    13,697.70x = 20,537.26 × 5,372.52
  4. Step 4: Simplify right side
    13,697.70x = 110,336,840.10
  5. Step 5: Solve for x
    x = 110,336,840.10/13,697.70
  6. Step 6: Final answer
    x = 8,055.14

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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.