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Finding the Fourth Proportional to 13,649.60, 20,474.40 and 6,737.60

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Solution

The fourth proportional to 13,649.60, 20,474.40 and 6,737.60 is: 10,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.60 : 20,474.40 = 6,737.60 : x
  2. Step 2: Convert to fraction form
    13,649.60/20,474.40 = 6,737.60/x
  3. Step 3: Cross multiply
    13,649.60x = 20,474.40 × 6,737.60
  4. Step 4: Simplify right side
    13,649.60x = 137,948,317.44
  5. Step 5: Solve for x
    x = 137,948,317.44/13,649.60
  6. Step 6: Final answer
    x = 10,106.40

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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.