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Finding the Fourth Proportional to 29,902.94, 41,268.75 and 16,476.86

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Solution

The fourth proportional to 29,902.94, 41,268.75 and 16,476.86 is: 22,739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,902.94 : 41,268.75 = 16,476.86 : x
  2. Step 2: Convert to fraction form
    29,902.94/41,268.75 = 16,476.86/x
  3. Step 3: Cross multiply
    29,902.94x = 41,268.75 × 16,476.86
  4. Step 4: Simplify right side
    29,902.94x = 679,979,416.13
  5. Step 5: Solve for x
    x = 679,979,416.13/29,902.94
  6. Step 6: Final answer
    x = 22,739.55

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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.