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Finding the Fourth Proportional to 19,516.61, 29,280.38 and 7,838.03

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Solution

The fourth proportional to 19,516.61, 29,280.38 and 7,838.03 is: 11,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,516.61 : 29,280.38 = 7,838.03 : x
  2. Step 2: Convert to fraction form
    19,516.61/29,280.38 = 7,838.03/x
  3. Step 3: Cross multiply
    19,516.61x = 29,280.38 × 7,838.03
  4. Step 4: Simplify right side
    19,516.61x = 229,500,496.85
  5. Step 5: Solve for x
    x = 229,500,496.85/19,516.61
  6. Step 6: Final answer
    x = 11,759.24

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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.