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Finding the Fourth Proportional to 12,969.43, 19,456.70 and 4,647.22

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Solution

The fourth proportional to 12,969.43, 19,456.70 and 4,647.22 is: 6,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.43 : 19,456.70 = 4,647.22 : x
  2. Step 2: Convert to fraction form
    12,969.43/19,456.70 = 4,647.22/x
  3. Step 3: Cross multiply
    12,969.43x = 19,456.70 × 4,647.22
  4. Step 4: Simplify right side
    12,969.43x = 90,419,493.50
  5. Step 5: Solve for x
    x = 90,419,493.50/12,969.43
  6. Step 6: Final answer
    x = 6,971.74

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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.