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Finding the Fourth Proportional to 29,833.41, 41,170.71 and 16,405.23

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Solution

The fourth proportional to 29,833.41, 41,170.71 and 16,405.23 is: 22,639.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,833.41 : 41,170.71 = 16,405.23 : x
  2. Step 2: Convert to fraction form
    29,833.41/41,170.71 = 16,405.23/x
  3. Step 3: Cross multiply
    29,833.41x = 41,170.71 × 16,405.23
  4. Step 4: Simplify right side
    29,833.41x = 675,414,966.81
  5. Step 5: Solve for x
    x = 675,414,966.81/29,833.41
  6. Step 6: Final answer
    x = 22,639.55

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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.