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Finding the Fourth Proportional to 29,725.16, 41,020.46 and 16,296.17

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Solution

The fourth proportional to 29,725.16, 41,020.46 and 16,296.17 is: 22,488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,725.16 : 41,020.46 = 16,296.17 : x
  2. Step 2: Convert to fraction form
    29,725.16/41,020.46 = 16,296.17/x
  3. Step 3: Cross multiply
    29,725.16x = 41,020.46 × 16,296.17
  4. Step 4: Simplify right side
    29,725.16x = 668,476,308.16
  5. Step 5: Solve for x
    x = 668,476,308.16/29,725.16
  6. Step 6: Final answer
    x = 22,488.57

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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.