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Finding the Fourth Proportional to 19,838.40, 29,757.60 and 8,145.60

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Solution

The fourth proportional to 19,838.40, 29,757.60 and 8,145.60 is: 12,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.40 : 29,757.60 = 8,145.60 : x
  2. Step 2: Convert to fraction form
    19,838.40/29,757.60 = 8,145.60/x
  3. Step 3: Cross multiply
    19,838.40x = 29,757.60 × 8,145.60
  4. Step 4: Simplify right side
    19,838.40x = 242,393,506.56
  5. Step 5: Solve for x
    x = 242,393,506.56/19,838.40
  6. Step 6: Final answer
    x = 12,218.40

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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.