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Finding the Fourth Proportional to 19,408.10, 29,114.85 and 8,314.70

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Solution

The fourth proportional to 19,408.10, 29,114.85 and 8,314.70 is: 12,473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,408.10 : 29,114.85 = 8,314.70 : x
  2. Step 2: Convert to fraction form
    19,408.10/29,114.85 = 8,314.70/x
  3. Step 3: Cross multiply
    19,408.10x = 29,114.85 × 8,314.70
  4. Step 4: Simplify right side
    19,408.10x = 242,081,243.30
  5. Step 5: Solve for x
    x = 242,081,243.30/19,408.10
  6. Step 6: Final answer
    x = 12,473.21

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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.