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Finding the Fourth Proportional to 29,217.80, 43,811.69 and 13,409.22

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Solution

The fourth proportional to 29,217.80, 43,811.69 and 13,409.22 is: 20,106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,217.80 : 43,811.69 = 13,409.22 : x
  2. Step 2: Convert to fraction form
    29,217.80/43,811.69 = 13,409.22/x
  3. Step 3: Cross multiply
    29,217.80x = 43,811.69 × 13,409.22
  4. Step 4: Simplify right side
    29,217.80x = 587,480,522.74
  5. Step 5: Solve for x
    x = 587,480,522.74/29,217.80
  6. Step 6: Final answer
    x = 20,106.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.