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Finding the Fourth Proportional to 29,409, 40,584.42 and 16,161

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Solution

The fourth proportional to 29,409, 40,584.42 and 16,161 is: 22,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,409 : 40,584.42 = 16,161 : x
  2. Step 2: Convert to fraction form
    29,409/40,584.42 = 16,161/x
  3. Step 3: Cross multiply
    29,409x = 40,584.42 × 16,161
  4. Step 4: Simplify right side
    29,409x = 655,884,811.62
  5. Step 5: Solve for x
    x = 655,884,811.62/29,409
  6. Step 6: Final answer
    x = 22,302.18

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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.