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Finding the Fourth Proportional to 12,813.86, 19,222.80 and 3,454.25

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Solution

The fourth proportional to 12,813.86, 19,222.80 and 3,454.25 is: 5,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.86 : 19,222.80 = 3,454.25 : x
  2. Step 2: Convert to fraction form
    12,813.86/19,222.80 = 3,454.25/x
  3. Step 3: Cross multiply
    12,813.86x = 19,222.80 × 3,454.25
  4. Step 4: Simplify right side
    12,813.86x = 66,400,356.90
  5. Step 5: Solve for x
    x = 66,400,356.90/12,813.86
  6. Step 6: Final answer
    x = 5,181.92

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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.