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Finding the Fourth Proportional to 13,366.78, 20,052.09 and 4,133.50

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Solution

The fourth proportional to 13,366.78, 20,052.09 and 4,133.50 is: 6,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,366.78 : 20,052.09 = 4,133.50 : x
  2. Step 2: Convert to fraction form
    13,366.78/20,052.09 = 4,133.50/x
  3. Step 3: Cross multiply
    13,366.78x = 20,052.09 × 4,133.50
  4. Step 4: Simplify right side
    13,366.78x = 82,885,314.02
  5. Step 5: Solve for x
    x = 82,885,314.02/13,366.78
  6. Step 6: Final answer
    x = 6,200.84

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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.