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Finding the Fourth Proportional to 12,849.63, 19,274.44 and 3,615.63

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Solution

The fourth proportional to 12,849.63, 19,274.44 and 3,615.63 is: 5,423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,849.63 : 19,274.44 = 3,615.63 : x
  2. Step 2: Convert to fraction form
    12,849.63/19,274.44 = 3,615.63/x
  3. Step 3: Cross multiply
    12,849.63x = 19,274.44 × 3,615.63
  4. Step 4: Simplify right side
    12,849.63x = 69,689,243.50
  5. Step 5: Solve for x
    x = 69,689,243.50/12,849.63
  6. Step 6: Final answer
    x = 5,423.44

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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.