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Finding the Fourth Proportional to 12,771.70, 19,157.56 and 3,537.70

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Solution

The fourth proportional to 12,771.70, 19,157.56 and 3,537.70 is: 5,306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.70 : 19,157.56 = 3,537.70 : x
  2. Step 2: Convert to fraction form
    12,771.70/19,157.56 = 3,537.70/x
  3. Step 3: Cross multiply
    12,771.70x = 19,157.56 × 3,537.70
  4. Step 4: Simplify right side
    12,771.70x = 67,773,700.01
  5. Step 5: Solve for x
    x = 67,773,700.01/12,771.70
  6. Step 6: Final answer
    x = 5,306.55

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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.