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Finding the Fourth Proportional to 13,900.52, 20,847.14 and 4,037.16

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Solution

The fourth proportional to 13,900.52, 20,847.14 and 4,037.16 is: 6,054.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900.52 : 20,847.14 = 4,037.16 : x
  2. Step 2: Convert to fraction form
    13,900.52/20,847.14 = 4,037.16/x
  3. Step 3: Cross multiply
    13,900.52x = 20,847.14 × 4,037.16
  4. Step 4: Simplify right side
    13,900.52x = 84,163,239.72
  5. Step 5: Solve for x
    x = 84,163,239.72/13,900.52
  6. Step 6: Final answer
    x = 6,054.68

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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.