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Finding the Fourth Proportional to 13,234.18, 19,854.35 and 3,874.35

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Solution

The fourth proportional to 13,234.18, 19,854.35 and 3,874.35 is: 5,812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234.18 : 19,854.35 = 3,874.35 : x
  2. Step 2: Convert to fraction form
    13,234.18/19,854.35 = 3,874.35/x
  3. Step 3: Cross multiply
    13,234.18x = 19,854.35 × 3,874.35
  4. Step 4: Simplify right side
    13,234.18x = 76,922,582.28
  5. Step 5: Solve for x
    x = 76,922,582.28/13,234.18
  6. Step 6: Final answer
    x = 5,812.42

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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.