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Finding the Fourth Proportional to 12,598.24, 18,896.04 and 4,278.04

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Solution

The fourth proportional to 12,598.24, 18,896.04 and 4,278.04 is: 6,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.24 : 18,896.04 = 4,278.04 : x
  2. Step 2: Convert to fraction form
    12,598.24/18,896.04 = 4,278.04/x
  3. Step 3: Cross multiply
    12,598.24x = 18,896.04 × 4,278.04
  4. Step 4: Simplify right side
    12,598.24x = 80,838,014.96
  5. Step 5: Solve for x
    x = 80,838,014.96/12,598.24
  6. Step 6: Final answer
    x = 6,416.61

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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.