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Finding the Fourth Proportional to 25,477.60, 38,218.82 and 9,896.44

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Solution

The fourth proportional to 25,477.60, 38,218.82 and 9,896.44 is: 14,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,477.60 : 38,218.82 = 9,896.44 : x
  2. Step 2: Convert to fraction form
    25,477.60/38,218.82 = 9,896.44/x
  3. Step 3: Cross multiply
    25,477.60x = 38,218.82 × 9,896.44
  4. Step 4: Simplify right side
    25,477.60x = 378,230,259.00
  5. Step 5: Solve for x
    x = 378,230,259.00/25,477.60
  6. Step 6: Final answer
    x = 14,845.60

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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.