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Finding the Fourth Proportional to 29,699.96, 40,968.42 and 17,596.16

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Solution

The fourth proportional to 29,699.96, 40,968.42 and 17,596.16 is: 24,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,699.96 : 40,968.42 = 17,596.16 : x
  2. Step 2: Convert to fraction form
    29,699.96/40,968.42 = 17,596.16/x
  3. Step 3: Cross multiply
    29,699.96x = 40,968.42 × 17,596.16
  4. Step 4: Simplify right side
    29,699.96x = 720,886,873.27
  5. Step 5: Solve for x
    x = 720,886,873.27/29,699.96
  6. Step 6: Final answer
    x = 24,272.32

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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.