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Finding the Fourth Proportional to 25,594.75, 38,382.94 and 9,804.22

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Solution

The fourth proportional to 25,594.75, 38,382.94 and 9,804.22 is: 14,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,594.75 : 38,382.94 = 9,804.22 : x
  2. Step 2: Convert to fraction form
    25,594.75/38,382.94 = 9,804.22/x
  3. Step 3: Cross multiply
    25,594.75x = 38,382.94 × 9,804.22
  4. Step 4: Simplify right side
    25,594.75x = 376,314,571.58
  5. Step 5: Solve for x
    x = 376,314,571.58/25,594.75
  6. Step 6: Final answer
    x = 14,702.81

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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.