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Finding the Fourth Proportional to 29,858.13, 41,205.06 and 16,429.71

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Solution

The fourth proportional to 29,858.13, 41,205.06 and 16,429.71 is: 22,673.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,858.13 : 41,205.06 = 16,429.71 : x
  2. Step 2: Convert to fraction form
    29,858.13/41,205.06 = 16,429.71/x
  3. Step 3: Cross multiply
    29,858.13x = 41,205.06 × 16,429.71
  4. Step 4: Simplify right side
    29,858.13x = 676,987,186.33
  5. Step 5: Solve for x
    x = 676,987,186.33/29,858.13
  6. Step 6: Final answer
    x = 22,673.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.