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Finding the Fourth Proportional to 12,771.12, 19,157 and 3,537.20

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Solution

The fourth proportional to 12,771.12, 19,157 and 3,537.20 is: 5,305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.12 : 19,157 = 3,537.20 : x
  2. Step 2: Convert to fraction form
    12,771.12/19,157 = 3,537.20/x
  3. Step 3: Cross multiply
    12,771.12x = 19,157 × 3,537.20
  4. Step 4: Simplify right side
    12,771.12x = 67,762,140.40
  5. Step 5: Solve for x
    x = 67,762,140.40/12,771.12
  6. Step 6: Final answer
    x = 5,305.89

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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.