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Finding the Fourth Proportional to 13,234.60, 19,854.78 and 3,874.84

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Solution

The fourth proportional to 13,234.60, 19,854.78 and 3,874.84 is: 5,813.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234.60 : 19,854.78 = 3,874.84 : x
  2. Step 2: Convert to fraction form
    13,234.60/19,854.78 = 3,874.84/x
  3. Step 3: Cross multiply
    13,234.60x = 19,854.78 × 3,874.84
  4. Step 4: Simplify right side
    13,234.60x = 76,934,095.74
  5. Step 5: Solve for x
    x = 76,934,095.74/13,234.60
  6. Step 6: Final answer
    x = 5,813.10

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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.