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Finding the Fourth Proportional to 19,586.68, 29,380.70 and 6,440.06

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Solution

The fourth proportional to 19,586.68, 29,380.70 and 6,440.06 is: 9,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,586.68 : 29,380.70 = 6,440.06 : x
  2. Step 2: Convert to fraction form
    19,586.68/29,380.70 = 6,440.06/x
  3. Step 3: Cross multiply
    19,586.68x = 29,380.70 × 6,440.06
  4. Step 4: Simplify right side
    19,586.68x = 189,213,560.39
  5. Step 5: Solve for x
    x = 189,213,560.39/19,586.68
  6. Step 6: Final answer
    x = 9,660.32

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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.