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Finding the Fourth Proportional to 25,584.82, 38,321.68 and 12,409.50

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Solution

The fourth proportional to 25,584.82, 38,321.68 and 12,409.50 is: 18,587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,584.82 : 38,321.68 = 12,409.50 : x
  2. Step 2: Convert to fraction form
    25,584.82/38,321.68 = 12,409.50/x
  3. Step 3: Cross multiply
    25,584.82x = 38,321.68 × 12,409.50
  4. Step 4: Simplify right side
    25,584.82x = 475,552,887.96
  5. Step 5: Solve for x
    x = 475,552,887.96/25,584.82
  6. Step 6: Final answer
    x = 18,587.31

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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.