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Finding the Fourth Proportional to 29,926, 41,297.86 and 16,497.47

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Solution

The fourth proportional to 29,926, 41,297.86 and 16,497.47 is: 22,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,926 : 41,297.86 = 16,497.47 : x
  2. Step 2: Convert to fraction form
    29,926/41,297.86 = 16,497.47/x
  3. Step 3: Cross multiply
    29,926x = 41,297.86 × 16,497.47
  4. Step 4: Simplify right side
    29,926x = 681,310,206.41
  5. Step 5: Solve for x
    x = 681,310,206.41/29,926
  6. Step 6: Final answer
    x = 22,766.50

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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.