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Finding the Fourth Proportional to 29,197.97, 43,804.24 and 8,421.47

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Solution

The fourth proportional to 29,197.97, 43,804.24 and 8,421.47 is: 12,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,197.97 : 43,804.24 = 8,421.47 : x
  2. Step 2: Convert to fraction form
    29,197.97/43,804.24 = 8,421.47/x
  3. Step 3: Cross multiply
    29,197.97x = 43,804.24 × 8,421.47
  4. Step 4: Simplify right side
    29,197.97x = 368,896,064.59
  5. Step 5: Solve for x
    x = 368,896,064.59/29,197.97
  6. Step 6: Final answer
    x = 12,634.31

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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.