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Finding the Fourth Proportional to 13,475.73, 20,220 and 6,082.47

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Solution

The fourth proportional to 13,475.73, 20,220 and 6,082.47 is: 9,126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475.73 : 20,220 = 6,082.47 : x
  2. Step 2: Convert to fraction form
    13,475.73/20,220 = 6,082.47/x
  3. Step 3: Cross multiply
    13,475.73x = 20,220 × 6,082.47
  4. Step 4: Simplify right side
    13,475.73x = 122,987,543.40
  5. Step 5: Solve for x
    x = 122,987,543.40/13,475.73
  6. Step 6: Final answer
    x = 9,126.60

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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.