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Finding the Fourth Proportional to 23,586.98, 35,380.46 and 8,004.74

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Solution

The fourth proportional to 23,586.98, 35,380.46 and 8,004.74 is: 12,007.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,586.98 : 35,380.46 = 8,004.74 : x
  2. Step 2: Convert to fraction form
    23,586.98/35,380.46 = 8,004.74/x
  3. Step 3: Cross multiply
    23,586.98x = 35,380.46 × 8,004.74
  4. Step 4: Simplify right side
    23,586.98x = 283,211,226.49
  5. Step 5: Solve for x
    x = 283,211,226.49/23,586.98
  6. Step 6: Final answer
    x = 12,007.10

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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.