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Finding the Fourth Proportional to 13,538.93, 20,298.06 and 8,200.98

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Solution

The fourth proportional to 13,538.93, 20,298.06 and 8,200.98 is: 12,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.93 : 20,298.06 = 8,200.98 : x
  2. Step 2: Convert to fraction form
    13,538.93/20,298.06 = 8,200.98/x
  3. Step 3: Cross multiply
    13,538.93x = 20,298.06 × 8,200.98
  4. Step 4: Simplify right side
    13,538.93x = 166,463,984.10
  5. Step 5: Solve for x
    x = 166,463,984.10/13,538.93
  6. Step 6: Final answer
    x = 12,295.21

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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.