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Finding the Fourth Proportional to 25,537.86, 38,297.31 and 8,893.62

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Solution

The fourth proportional to 25,537.86, 38,297.31 and 8,893.62 is: 13,337.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,537.86 : 38,297.31 = 8,893.62 : x
  2. Step 2: Convert to fraction form
    25,537.86/38,297.31 = 8,893.62/x
  3. Step 3: Cross multiply
    25,537.86x = 38,297.31 × 8,893.62
  4. Step 4: Simplify right side
    25,537.86x = 340,601,722.16
  5. Step 5: Solve for x
    x = 340,601,722.16/25,537.86
  6. Step 6: Final answer
    x = 13,337.13

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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.