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Finding the Fourth Proportional to 29,506.68, 44,230.50 and 13,722.84

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Solution

The fourth proportional to 29,506.68, 44,230.50 and 13,722.84 is: 20,570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,506.68 : 44,230.50 = 13,722.84 : x
  2. Step 2: Convert to fraction form
    29,506.68/44,230.50 = 13,722.84/x
  3. Step 3: Cross multiply
    29,506.68x = 44,230.50 × 13,722.84
  4. Step 4: Simplify right side
    29,506.68x = 606,968,074.62
  5. Step 5: Solve for x
    x = 606,968,074.62/29,506.68
  6. Step 6: Final answer
    x = 20,570.53

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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.