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Finding the Fourth Proportional to 19,586.78, 29,384.52 and 6,438.62

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Solution

The fourth proportional to 19,586.78, 29,384.52 and 6,438.62 is: 9,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,586.78 : 29,384.52 = 6,438.62 : x
  2. Step 2: Convert to fraction form
    19,586.78/29,384.52 = 6,438.62/x
  3. Step 3: Cross multiply
    19,586.78x = 29,384.52 × 6,438.62
  4. Step 4: Simplify right side
    19,586.78x = 189,195,758.16
  5. Step 5: Solve for x
    x = 189,195,758.16/19,586.78
  6. Step 6: Final answer
    x = 9,659.36

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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.