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Finding the Fourth Proportional to 13,933.86, 20,900.79 and 7,003.50

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Solution

The fourth proportional to 13,933.86, 20,900.79 and 7,003.50 is: 10,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,933.86 : 20,900.79 = 7,003.50 : x
  2. Step 2: Convert to fraction form
    13,933.86/20,900.79 = 7,003.50/x
  3. Step 3: Cross multiply
    13,933.86x = 20,900.79 × 7,003.50
  4. Step 4: Simplify right side
    13,933.86x = 146,378,682.77
  5. Step 5: Solve for x
    x = 146,378,682.77/13,933.86
  6. Step 6: Final answer
    x = 10,505.25

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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.