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Finding the Fourth Proportional to 29,114.40, 43,633.80 and 13,498.80

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Solution

The fourth proportional to 29,114.40, 43,633.80 and 13,498.80 is: 20,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,114.40 : 43,633.80 = 13,498.80 : x
  2. Step 2: Convert to fraction form
    29,114.40/43,633.80 = 13,498.80/x
  3. Step 3: Cross multiply
    29,114.40x = 43,633.80 × 13,498.80
  4. Step 4: Simplify right side
    29,114.40x = 589,003,939.44
  5. Step 5: Solve for x
    x = 589,003,939.44/29,114.40
  6. Step 6: Final answer
    x = 20,230.67

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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.