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Finding the Fourth Proportional to 13,916.86, 19,194.11 and 12,234.70

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Solution

The fourth proportional to 13,916.86, 19,194.11 and 12,234.70 is: 16,874.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916.86 : 19,194.11 = 12,234.70 : x
  2. Step 2: Convert to fraction form
    13,916.86/19,194.11 = 12,234.70/x
  3. Step 3: Cross multiply
    13,916.86x = 19,194.11 × 12,234.70
  4. Step 4: Simplify right side
    13,916.86x = 234,834,147.17
  5. Step 5: Solve for x
    x = 234,834,147.17/13,916.86
  6. Step 6: Final answer
    x = 16,874.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.