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Finding the Fourth Proportional to 13,029.71, 19,544.56 and 3,168.99

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Solution

The fourth proportional to 13,029.71, 19,544.56 and 3,168.99 is: 4,753.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.71 : 19,544.56 = 3,168.99 : x
  2. Step 2: Convert to fraction form
    13,029.71/19,544.56 = 3,168.99/x
  3. Step 3: Cross multiply
    13,029.71x = 19,544.56 × 3,168.99
  4. Step 4: Simplify right side
    13,029.71x = 61,936,507.27
  5. Step 5: Solve for x
    x = 61,936,507.27/13,029.71
  6. Step 6: Final answer
    x = 4,753.49

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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.