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Finding the Fourth Proportional to 29,509.68, 40,722.07 and 16,762.82

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Solution

The fourth proportional to 29,509.68, 40,722.07 and 16,762.82 is: 23,131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,509.68 : 40,722.07 = 16,762.82 : x
  2. Step 2: Convert to fraction form
    29,509.68/40,722.07 = 16,762.82/x
  3. Step 3: Cross multiply
    29,509.68x = 40,722.07 × 16,762.82
  4. Step 4: Simplify right side
    29,509.68x = 682,616,645.62
  5. Step 5: Solve for x
    x = 682,616,645.62/29,509.68
  6. Step 6: Final answer
    x = 23,131.96

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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.