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Finding the Fourth Proportional to 20,594.25, 30,880.44 and 9,495.23

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Solution

The fourth proportional to 20,594.25, 30,880.44 and 9,495.23 is: 14,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,594.25 : 30,880.44 = 9,495.23 : x
  2. Step 2: Convert to fraction form
    20,594.25/30,880.44 = 9,495.23/x
  3. Step 3: Cross multiply
    20,594.25x = 30,880.44 × 9,495.23
  4. Step 4: Simplify right side
    20,594.25x = 293,216,725.90
  5. Step 5: Solve for x
    x = 293,216,725.90/20,594.25
  6. Step 6: Final answer
    x = 14,237.80

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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.