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Finding the Fourth Proportional to 29,725.68, 41,021.22 and 16,297.50

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Solution

The fourth proportional to 29,725.68, 41,021.22 and 16,297.50 is: 22,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,725.68 : 41,021.22 = 16,297.50 : x
  2. Step 2: Convert to fraction form
    29,725.68/41,021.22 = 16,297.50/x
  3. Step 3: Cross multiply
    29,725.68x = 41,021.22 × 16,297.50
  4. Step 4: Simplify right side
    29,725.68x = 668,543,332.95
  5. Step 5: Solve for x
    x = 668,543,332.95/29,725.68
  6. Step 6: Final answer
    x = 22,490.43

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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.