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Finding the Fourth Proportional to 13,436.64, 20,154.90 and 5,114.70

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Solution

The fourth proportional to 13,436.64, 20,154.90 and 5,114.70 is: 7,672.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,436.64 : 20,154.90 = 5,114.70 : x
  2. Step 2: Convert to fraction form
    13,436.64/20,154.90 = 5,114.70/x
  3. Step 3: Cross multiply
    13,436.64x = 20,154.90 × 5,114.70
  4. Step 4: Simplify right side
    13,436.64x = 103,086,267.03
  5. Step 5: Solve for x
    x = 103,086,267.03/13,436.64
  6. Step 6: Final answer
    x = 7,672.03

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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.