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Finding the Fourth Proportional to 12,954.24, 19,431.63 and 4,189.14

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Solution

The fourth proportional to 12,954.24, 19,431.63 and 4,189.14 is: 6,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.24 : 19,431.63 = 4,189.14 : x
  2. Step 2: Convert to fraction form
    12,954.24/19,431.63 = 4,189.14/x
  3. Step 3: Cross multiply
    12,954.24x = 19,431.63 × 4,189.14
  4. Step 4: Simplify right side
    12,954.24x = 81,401,818.50
  5. Step 5: Solve for x
    x = 81,401,818.50/12,954.24
  6. Step 6: Final answer
    x = 6,283.80

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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.