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Finding the Fourth Proportional to 12,874.30, 19,313.88 and 4,553.35

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Solution

The fourth proportional to 12,874.30, 19,313.88 and 4,553.35 is: 6,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.30 : 19,313.88 = 4,553.35 : x
  2. Step 2: Convert to fraction form
    12,874.30/19,313.88 = 4,553.35/x
  3. Step 3: Cross multiply
    12,874.30x = 19,313.88 × 4,553.35
  4. Step 4: Simplify right side
    12,874.30x = 87,942,855.50
  5. Step 5: Solve for x
    x = 87,942,855.50/12,874.30
  6. Step 6: Final answer
    x = 6,830.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.