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Finding the Fourth Proportional to 19,529.92, 29,299.20 and 9,136

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Solution

The fourth proportional to 19,529.92, 29,299.20 and 9,136 is: 13,706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,529.92 : 29,299.20 = 9,136 : x
  2. Step 2: Convert to fraction form
    19,529.92/29,299.20 = 9,136/x
  3. Step 3: Cross multiply
    19,529.92x = 29,299.20 × 9,136
  4. Step 4: Simplify right side
    19,529.92x = 267,677,491.20
  5. Step 5: Solve for x
    x = 267,677,491.20/19,529.92
  6. Step 6: Final answer
    x = 13,706.02

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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.