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Finding the Fourth Proportional to 13,697.82, 20,538.85 and 5,368.08

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Solution

The fourth proportional to 13,697.82, 20,538.85 and 5,368.08 is: 8,049.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.82 : 20,538.85 = 5,368.08 : x
  2. Step 2: Convert to fraction form
    13,697.82/20,538.85 = 5,368.08/x
  3. Step 3: Cross multiply
    13,697.82x = 20,538.85 × 5,368.08
  4. Step 4: Simplify right side
    13,697.82x = 110,254,189.91
  5. Step 5: Solve for x
    x = 110,254,189.91/13,697.82
  6. Step 6: Final answer
    x = 8,049.03

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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.