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Finding the Fourth Proportional to 13,697.39, 20,546.10 and 4,692.20

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Solution

The fourth proportional to 13,697.39, 20,546.10 and 4,692.20 is: 7,038.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.39 : 20,546.10 = 4,692.20 : x
  2. Step 2: Convert to fraction form
    13,697.39/20,546.10 = 4,692.20/x
  3. Step 3: Cross multiply
    13,697.39x = 20,546.10 × 4,692.20
  4. Step 4: Simplify right side
    13,697.39x = 96,406,307.69
  5. Step 5: Solve for x
    x = 96,406,307.69/13,697.39
  6. Step 6: Final answer
    x = 7,038.30

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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.