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Finding the Fourth Proportional to 12,485.36, 18,729.20 and 5,466

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Solution

The fourth proportional to 12,485.36, 18,729.20 and 5,466 is: 8,199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,485.36 : 18,729.20 = 5,466 : x
  2. Step 2: Convert to fraction form
    12,485.36/18,729.20 = 5,466/x
  3. Step 3: Cross multiply
    12,485.36x = 18,729.20 × 5,466
  4. Step 4: Simplify right side
    12,485.36x = 102,373,807.20
  5. Step 5: Solve for x
    x = 102,373,807.20/12,485.36
  6. Step 6: Final answer
    x = 8,199.51

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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.