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Finding the Fourth Proportional to 12,574.64, 18,861.96 and 3,214.34

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Solution

The fourth proportional to 12,574.64, 18,861.96 and 3,214.34 is: 4,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.64 : 18,861.96 = 3,214.34 : x
  2. Step 2: Convert to fraction form
    12,574.64/18,861.96 = 3,214.34/x
  3. Step 3: Cross multiply
    12,574.64x = 18,861.96 × 3,214.34
  4. Step 4: Simplify right side
    12,574.64x = 60,628,658.20
  5. Step 5: Solve for x
    x = 60,628,658.20/12,574.64
  6. Step 6: Final answer
    x = 4,821.50

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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.