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Finding the Fourth Proportional to 29,571.42, 40,806.84 and 16,140

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Solution

The fourth proportional to 29,571.42, 40,806.84 and 16,140 is: 22,272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,571.42 : 40,806.84 = 16,140 : x
  2. Step 2: Convert to fraction form
    29,571.42/40,806.84 = 16,140/x
  3. Step 3: Cross multiply
    29,571.42x = 40,806.84 × 16,140
  4. Step 4: Simplify right side
    29,571.42x = 658,622,397.60
  5. Step 5: Solve for x
    x = 658,622,397.60/29,571.42
  6. Step 6: Final answer
    x = 22,272.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.