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Finding the Fourth Proportional to 12,874.14, 19,312.83 and 4,552.20

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Solution

The fourth proportional to 12,874.14, 19,312.83 and 4,552.20 is: 6,828.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.14 : 19,312.83 = 4,552.20 : x
  2. Step 2: Convert to fraction form
    12,874.14/19,312.83 = 4,552.20/x
  3. Step 3: Cross multiply
    12,874.14x = 19,312.83 × 4,552.20
  4. Step 4: Simplify right side
    12,874.14x = 87,915,864.73
  5. Step 5: Solve for x
    x = 87,915,864.73/12,874.14
  6. Step 6: Final answer
    x = 6,828.87

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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.