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Finding the Fourth Proportional to 29,511.26, 40,724.35 and 16,082.23

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Solution

The fourth proportional to 29,511.26, 40,724.35 and 16,082.23 is: 22,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,511.26 : 40,724.35 = 16,082.23 : x
  2. Step 2: Convert to fraction form
    29,511.26/40,724.35 = 16,082.23/x
  3. Step 3: Cross multiply
    29,511.26x = 40,724.35 × 16,082.23
  4. Step 4: Simplify right side
    29,511.26x = 654,938,159.68
  5. Step 5: Solve for x
    x = 654,938,159.68/29,511.26
  6. Step 6: Final answer
    x = 22,192.82

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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.