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Finding the Fourth Proportional to 19,865.69, 29,824.57 and 13,321.16

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Solution

The fourth proportional to 19,865.69, 29,824.57 and 13,321.16 is: 19,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,865.69 : 29,824.57 = 13,321.16 : x
  2. Step 2: Convert to fraction form
    19,865.69/29,824.57 = 13,321.16/x
  3. Step 3: Cross multiply
    19,865.69x = 29,824.57 × 13,321.16
  4. Step 4: Simplify right side
    19,865.69x = 397,297,719.78
  5. Step 5: Solve for x
    x = 397,297,719.78/19,865.69
  6. Step 6: Final answer
    x = 19,999.20

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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.