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Finding the Fourth Proportional to 12,911.63, 19,364.71 and 4,144.49

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Solution

The fourth proportional to 12,911.63, 19,364.71 and 4,144.49 is: 6,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.63 : 19,364.71 = 4,144.49 : x
  2. Step 2: Convert to fraction form
    12,911.63/19,364.71 = 4,144.49/x
  3. Step 3: Cross multiply
    12,911.63x = 19,364.71 × 4,144.49
  4. Step 4: Simplify right side
    12,911.63x = 80,256,846.95
  5. Step 5: Solve for x
    x = 80,256,846.95/12,911.63
  6. Step 6: Final answer
    x = 6,215.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.