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Finding the Fourth Proportional to 12,814, 19,222.26 and 3,580

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Solution

The fourth proportional to 12,814, 19,222.26 and 3,580 is: 5,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814 : 19,222.26 = 3,580 : x
  2. Step 2: Convert to fraction form
    12,814/19,222.26 = 3,580/x
  3. Step 3: Cross multiply
    12,814x = 19,222.26 × 3,580
  4. Step 4: Simplify right side
    12,814x = 68,815,690.80
  5. Step 5: Solve for x
    x = 68,815,690.80/12,814
  6. Step 6: Final answer
    x = 5,370.35

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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.