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Finding the Fourth Proportional to 13,403.25, 18,493.74 and 7,433.64

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Solution

The fourth proportional to 13,403.25, 18,493.74 and 7,433.64 is: 10,256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.25 : 18,493.74 = 7,433.64 : x
  2. Step 2: Convert to fraction form
    13,403.25/18,493.74 = 7,433.64/x
  3. Step 3: Cross multiply
    13,403.25x = 18,493.74 × 7,433.64
  4. Step 4: Simplify right side
    13,403.25x = 137,475,805.41
  5. Step 5: Solve for x
    x = 137,475,805.41/13,403.25
  6. Step 6: Final answer
    x = 10,256.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.