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Finding the Fourth Proportional to 29,734.40, 44,596.74 and 11,023.14

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Solution

The fourth proportional to 29,734.40, 44,596.74 and 11,023.14 is: 16,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,734.40 : 44,596.74 = 11,023.14 : x
  2. Step 2: Convert to fraction form
    29,734.40/44,596.74 = 11,023.14/x
  3. Step 3: Cross multiply
    29,734.40x = 44,596.74 × 11,023.14
  4. Step 4: Simplify right side
    29,734.40x = 491,596,108.56
  5. Step 5: Solve for x
    x = 491,596,108.56/29,734.40
  6. Step 6: Final answer
    x = 16,532.91

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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.