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Finding the Fourth Proportional to 12,674.50, 19,014.30 and 3,909.04

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Solution

The fourth proportional to 12,674.50, 19,014.30 and 3,909.04 is: 5,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.50 : 19,014.30 = 3,909.04 : x
  2. Step 2: Convert to fraction form
    12,674.50/19,014.30 = 3,909.04/x
  3. Step 3: Cross multiply
    12,674.50x = 19,014.30 × 3,909.04
  4. Step 4: Simplify right side
    12,674.50x = 74,327,659.27
  5. Step 5: Solve for x
    x = 74,327,659.27/12,674.50
  6. Step 6: Final answer
    x = 5,864.35

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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.