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Finding the Fourth Proportional to 29,147.65, 40,222.88 and 16,401.54

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Solution

The fourth proportional to 29,147.65, 40,222.88 and 16,401.54 is: 22,633.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,147.65 : 40,222.88 = 16,401.54 : x
  2. Step 2: Convert to fraction form
    29,147.65/40,222.88 = 16,401.54/x
  3. Step 3: Cross multiply
    29,147.65x = 40,222.88 × 16,401.54
  4. Step 4: Simplify right side
    29,147.65x = 659,717,079.32
  5. Step 5: Solve for x
    x = 659,717,079.32/29,147.65
  6. Step 6: Final answer
    x = 22,633.63

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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.