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Finding the Fourth Proportional to 13,132.42, 19,698.62 and 3,898.42

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Solution

The fourth proportional to 13,132.42, 19,698.62 and 3,898.42 is: 5,847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.42 : 19,698.62 = 3,898.42 : x
  2. Step 2: Convert to fraction form
    13,132.42/19,698.62 = 3,898.42/x
  3. Step 3: Cross multiply
    13,132.42x = 19,698.62 × 3,898.42
  4. Step 4: Simplify right side
    13,132.42x = 76,793,425.44
  5. Step 5: Solve for x
    x = 76,793,425.44/13,132.42
  6. Step 6: Final answer
    x = 5,847.62

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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.