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Finding the Fourth Proportional to 25,613.54, 38,420.31 and 6,893.62

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Solution

The fourth proportional to 25,613.54, 38,420.31 and 6,893.62 is: 10,340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,613.54 : 38,420.31 = 6,893.62 : x
  2. Step 2: Convert to fraction form
    25,613.54/38,420.31 = 6,893.62/x
  3. Step 3: Cross multiply
    25,613.54x = 38,420.31 × 6,893.62
  4. Step 4: Simplify right side
    25,613.54x = 264,854,808.09
  5. Step 5: Solve for x
    x = 264,854,808.09/25,613.54
  6. Step 6: Final answer
    x = 10,340.42

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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.