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Finding the Fourth Proportional to 29,833.14, 41,170.41 and 16,405.14

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Solution

The fourth proportional to 29,833.14, 41,170.41 and 16,405.14 is: 22,639.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,833.14 : 41,170.41 = 16,405.14 : x
  2. Step 2: Convert to fraction form
    29,833.14/41,170.41 = 16,405.14/x
  3. Step 3: Cross multiply
    29,833.14x = 41,170.41 × 16,405.14
  4. Step 4: Simplify right side
    29,833.14x = 675,406,339.91
  5. Step 5: Solve for x
    x = 675,406,339.91/29,833.14
  6. Step 6: Final answer
    x = 22,639.47

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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.