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Finding the Fourth Proportional to 29,584.26, 40,825.08 and 16,155

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Solution

The fourth proportional to 29,584.26, 40,825.08 and 16,155 is: 22,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,584.26 : 40,825.08 = 16,155 : x
  2. Step 2: Convert to fraction form
    29,584.26/40,825.08 = 16,155/x
  3. Step 3: Cross multiply
    29,584.26x = 40,825.08 × 16,155
  4. Step 4: Simplify right side
    29,584.26x = 659,529,167.40
  5. Step 5: Solve for x
    x = 659,529,167.40/29,584.26
  6. Step 6: Final answer
    x = 22,293.25

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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.