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Finding the Fourth Proportional to 13,743.64, 20,597.10 and 7,156

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Solution

The fourth proportional to 13,743.64, 20,597.10 and 7,156 is: 10,724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.64 : 20,597.10 = 7,156 : x
  2. Step 2: Convert to fraction form
    13,743.64/20,597.10 = 7,156/x
  3. Step 3: Cross multiply
    13,743.64x = 20,597.10 × 7,156
  4. Step 4: Simplify right side
    13,743.64x = 147,392,847.60
  5. Step 5: Solve for x
    x = 147,392,847.60/13,743.64
  6. Step 6: Final answer
    x = 10,724.44

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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.