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Finding the Fourth Proportional to 29,696.86, 40,980.20 and 16,268.16

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Solution

The fourth proportional to 29,696.86, 40,980.20 and 16,268.16 is: 22,449.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,696.86 : 40,980.20 = 16,268.16 : x
  2. Step 2: Convert to fraction form
    29,696.86/40,980.20 = 16,268.16/x
  3. Step 3: Cross multiply
    29,696.86x = 40,980.20 × 16,268.16
  4. Step 4: Simplify right side
    29,696.86x = 666,672,450.43
  5. Step 5: Solve for x
    x = 666,672,450.43/29,696.86
  6. Step 6: Final answer
    x = 22,449.26

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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.