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Finding the Fourth Proportional to 14,865.14, 20,520.44 and 10,406.39

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Solution

The fourth proportional to 14,865.14, 20,520.44 and 10,406.39 is: 14,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,865.14 : 20,520.44 = 10,406.39 : x
  2. Step 2: Convert to fraction form
    14,865.14/20,520.44 = 10,406.39/x
  3. Step 3: Cross multiply
    14,865.14x = 20,520.44 × 10,406.39
  4. Step 4: Simplify right side
    14,865.14x = 213,543,546.98
  5. Step 5: Solve for x
    x = 213,543,546.98/14,865.14
  6. Step 6: Final answer
    x = 14,365.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.