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Finding the Fourth Proportional to 19,792.05, 29,630.43 and 10,409.82

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Solution

The fourth proportional to 19,792.05, 29,630.43 and 10,409.82 is: 15,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,792.05 : 29,630.43 = 10,409.82 : x
  2. Step 2: Convert to fraction form
    19,792.05/29,630.43 = 10,409.82/x
  3. Step 3: Cross multiply
    19,792.05x = 29,630.43 × 10,409.82
  4. Step 4: Simplify right side
    19,792.05x = 308,447,442.82
  5. Step 5: Solve for x
    x = 308,447,442.82/19,792.05
  6. Step 6: Final answer
    x = 15,584.41

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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.