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Finding the Fourth Proportional to 19,586.60, 29,380.84 and 6,438.68

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Solution

The fourth proportional to 19,586.60, 29,380.84 and 6,438.68 is: 9,658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,586.60 : 29,380.84 = 6,438.68 : x
  2. Step 2: Convert to fraction form
    19,586.60/29,380.84 = 6,438.68/x
  3. Step 3: Cross multiply
    19,586.60x = 29,380.84 × 6,438.68
  4. Step 4: Simplify right side
    19,586.60x = 189,173,826.89
  5. Step 5: Solve for x
    x = 189,173,826.89/19,586.60
  6. Step 6: Final answer
    x = 9,658.33

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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.