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Finding the Fourth Proportional to 13,965.78, 20,956.86 and 5,200.50

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Solution

The fourth proportional to 13,965.78, 20,956.86 and 5,200.50 is: 7,803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.78 : 20,956.86 = 5,200.50 : x
  2. Step 2: Convert to fraction form
    13,965.78/20,956.86 = 5,200.50/x
  3. Step 3: Cross multiply
    13,965.78x = 20,956.86 × 5,200.50
  4. Step 4: Simplify right side
    13,965.78x = 108,986,150.43
  5. Step 5: Solve for x
    x = 108,986,150.43/13,965.78
  6. Step 6: Final answer
    x = 7,803.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.