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Finding the Fourth Proportional to 29,568.42, 40,802.70 and 16,137

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Solution

The fourth proportional to 29,568.42, 40,802.70 and 16,137 is: 22,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,568.42 : 40,802.70 = 16,137 : x
  2. Step 2: Convert to fraction form
    29,568.42/40,802.70 = 16,137/x
  3. Step 3: Cross multiply
    29,568.42x = 40,802.70 × 16,137
  4. Step 4: Simplify right side
    29,568.42x = 658,433,169.90
  5. Step 5: Solve for x
    x = 658,433,169.90/29,568.42
  6. Step 6: Final answer
    x = 22,268.12

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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.