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Finding the Fourth Proportional to 12,900.38, 19,351 and 4,581.05

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Solution

The fourth proportional to 12,900.38, 19,351 and 4,581.05 is: 6,871.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900.38 : 19,351 = 4,581.05 : x
  2. Step 2: Convert to fraction form
    12,900.38/19,351 = 4,581.05/x
  3. Step 3: Cross multiply
    12,900.38x = 19,351 × 4,581.05
  4. Step 4: Simplify right side
    12,900.38x = 88,647,898.55
  5. Step 5: Solve for x
    x = 88,647,898.55/12,900.38
  6. Step 6: Final answer
    x = 6,871.73

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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.