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Finding the Fourth Proportional to 12,130.08, 16,738.08 and 6,825.44

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Solution

The fourth proportional to 12,130.08, 16,738.08 and 6,825.44 is: 9,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.08 : 16,738.08 = 6,825.44 : x
  2. Step 2: Convert to fraction form
    12,130.08/16,738.08 = 6,825.44/x
  3. Step 3: Cross multiply
    12,130.08x = 16,738.08 × 6,825.44
  4. Step 4: Simplify right side
    12,130.08x = 114,244,760.76
  5. Step 5: Solve for x
    x = 114,244,760.76/12,130.08
  6. Step 6: Final answer
    x = 9,418.30

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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.