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Finding the Fourth Proportional to 12,417.75, 18,627.17 and 3,653.42

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Solution

The fourth proportional to 12,417.75, 18,627.17 and 3,653.42 is: 5,480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.75 : 18,627.17 = 3,653.42 : x
  2. Step 2: Convert to fraction form
    12,417.75/18,627.17 = 3,653.42/x
  3. Step 3: Cross multiply
    12,417.75x = 18,627.17 × 3,653.42
  4. Step 4: Simplify right side
    12,417.75x = 68,052,764.02
  5. Step 5: Solve for x
    x = 68,052,764.02/12,417.75
  6. Step 6: Final answer
    x = 5,480.28

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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.