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Finding the Fourth Proportional to 19,586.54, 29,396.61 and 7,908.14

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Solution

The fourth proportional to 19,586.54, 29,396.61 and 7,908.14 is: 11,868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,586.54 : 29,396.61 = 7,908.14 : x
  2. Step 2: Convert to fraction form
    19,586.54/29,396.61 = 7,908.14/x
  3. Step 3: Cross multiply
    19,586.54x = 29,396.61 × 7,908.14
  4. Step 4: Simplify right side
    19,586.54x = 232,472,507.41
  5. Step 5: Solve for x
    x = 232,472,507.41/19,586.54
  6. Step 6: Final answer
    x = 11,868.99

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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.