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Finding the Fourth Proportional to 29,617.26, 40,871.71 and 16,188.50

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Solution

The fourth proportional to 29,617.26, 40,871.71 and 16,188.50 is: 22,340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,617.26 : 40,871.71 = 16,188.50 : x
  2. Step 2: Convert to fraction form
    29,617.26/40,871.71 = 16,188.50/x
  3. Step 3: Cross multiply
    29,617.26x = 40,871.71 × 16,188.50
  4. Step 4: Simplify right side
    29,617.26x = 661,651,596.39
  5. Step 5: Solve for x
    x = 661,651,596.39/29,617.26
  6. Step 6: Final answer
    x = 22,340.07

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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.