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Finding the Fourth Proportional to 29,511.84, 40,725.80 and 16,083.21

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Solution

The fourth proportional to 29,511.84, 40,725.80 and 16,083.21 is: 22,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,511.84 : 40,725.80 = 16,083.21 : x
  2. Step 2: Convert to fraction form
    29,511.84/40,725.80 = 16,083.21/x
  3. Step 3: Cross multiply
    29,511.84x = 40,725.80 × 16,083.21
  4. Step 4: Simplify right side
    29,511.84x = 655,001,309.77
  5. Step 5: Solve for x
    x = 655,001,309.77/29,511.84
  6. Step 6: Final answer
    x = 22,194.53

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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.