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Finding the Fourth Proportional to 13,107.50, 19,664.49 and 3,873.50

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Solution

The fourth proportional to 13,107.50, 19,664.49 and 3,873.50 is: 5,811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.50 : 19,664.49 = 3,873.50 : x
  2. Step 2: Convert to fraction form
    13,107.50/19,664.49 = 3,873.50/x
  3. Step 3: Cross multiply
    13,107.50x = 19,664.49 × 3,873.50
  4. Step 4: Simplify right side
    13,107.50x = 76,170,402.02
  5. Step 5: Solve for x
    x = 76,170,402.02/13,107.50
  6. Step 6: Final answer
    x = 5,811.21

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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.