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Finding the Fourth Proportional to 12,548.16, 18,824 and 3,782.08

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Solution

The fourth proportional to 12,548.16, 18,824 and 3,782.08 is: 5,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,548.16 : 18,824 = 3,782.08 : x
  2. Step 2: Convert to fraction form
    12,548.16/18,824 = 3,782.08/x
  3. Step 3: Cross multiply
    12,548.16x = 18,824 × 3,782.08
  4. Step 4: Simplify right side
    12,548.16x = 71,193,873.92
  5. Step 5: Solve for x
    x = 71,193,873.92/12,548.16
  6. Step 6: Final answer
    x = 5,673.65

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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.