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Finding the Fourth Proportional to 12,874.60, 19,291.87 and 6,203.91

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Solution

The fourth proportional to 12,874.60, 19,291.87 and 6,203.91 is: 9,296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.60 : 19,291.87 = 6,203.91 : x
  2. Step 2: Convert to fraction form
    12,874.60/19,291.87 = 6,203.91/x
  3. Step 3: Cross multiply
    12,874.60x = 19,291.87 × 6,203.91
  4. Step 4: Simplify right side
    12,874.60x = 119,685,025.21
  5. Step 5: Solve for x
    x = 119,685,025.21/12,874.60
  6. Step 6: Final answer
    x = 9,296.21

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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.