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Finding the Fourth Proportional to 12,874.10, 19,314.82 and 4,109.70

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Solution

The fourth proportional to 12,874.10, 19,314.82 and 4,109.70 is: 6,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.10 : 19,314.82 = 4,109.70 : x
  2. Step 2: Convert to fraction form
    12,874.10/19,314.82 = 4,109.70/x
  3. Step 3: Cross multiply
    12,874.10x = 19,314.82 × 4,109.70
  4. Step 4: Simplify right side
    12,874.10x = 79,378,115.75
  5. Step 5: Solve for x
    x = 79,378,115.75/12,874.10
  6. Step 6: Final answer
    x = 6,165.72

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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.