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Finding the Fourth Proportional to 25,474.59, 38,214.32 and 9,893.43

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Solution

The fourth proportional to 25,474.59, 38,214.32 and 9,893.43 is: 14,841.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,474.59 : 38,214.32 = 9,893.43 : x
  2. Step 2: Convert to fraction form
    25,474.59/38,214.32 = 9,893.43/x
  3. Step 3: Cross multiply
    25,474.59x = 38,214.32 × 9,893.43
  4. Step 4: Simplify right side
    25,474.59x = 378,070,650.45
  5. Step 5: Solve for x
    x = 378,070,650.45/25,474.59
  6. Step 6: Final answer
    x = 14,841.09

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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.