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Finding the Fourth Proportional to 19,884.53, 29,825.24 and 8,791.58

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Solution

The fourth proportional to 19,884.53, 29,825.24 and 8,791.58 is: 13,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884.53 : 29,825.24 = 8,791.58 : x
  2. Step 2: Convert to fraction form
    19,884.53/29,825.24 = 8,791.58/x
  3. Step 3: Cross multiply
    19,884.53x = 29,825.24 × 8,791.58
  4. Step 4: Simplify right side
    19,884.53x = 262,210,790.40
  5. Step 5: Solve for x
    x = 262,210,790.40/19,884.53
  6. Step 6: Final answer
    x = 13,186.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.