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Finding the Fourth Proportional to 29,406.24, 44,109 and 13,812.84

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Solution

The fourth proportional to 29,406.24, 44,109 and 13,812.84 is: 20,719.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,406.24 : 44,109 = 13,812.84 : x
  2. Step 2: Convert to fraction form
    29,406.24/44,109 = 13,812.84/x
  3. Step 3: Cross multiply
    29,406.24x = 44,109 × 13,812.84
  4. Step 4: Simplify right side
    29,406.24x = 609,270,559.56
  5. Step 5: Solve for x
    x = 609,270,559.56/29,406.24
  6. Step 6: Final answer
    x = 20,719.09

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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.