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Finding the Fourth Proportional to 29,860.40, 41,205.69 and 16,429.47

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Solution

The fourth proportional to 29,860.40, 41,205.69 and 16,429.47 is: 22,671.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,860.40 : 41,205.69 = 16,429.47 : x
  2. Step 2: Convert to fraction form
    29,860.40/41,205.69 = 16,429.47/x
  3. Step 3: Cross multiply
    29,860.40x = 41,205.69 × 16,429.47
  4. Step 4: Simplify right side
    29,860.40x = 676,987,647.68
  5. Step 5: Solve for x
    x = 676,987,647.68/29,860.40
  6. Step 6: Final answer
    x = 22,671.76

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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.