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Finding the Fourth Proportional to 29,711.42, 44,563.38 and 9,719.24

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Solution

The fourth proportional to 29,711.42, 44,563.38 and 9,719.24 is: 14,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,711.42 : 44,563.38 = 9,719.24 : x
  2. Step 2: Convert to fraction form
    29,711.42/44,563.38 = 9,719.24/x
  3. Step 3: Cross multiply
    29,711.42x = 44,563.38 × 9,719.24
  4. Step 4: Simplify right side
    29,711.42x = 433,122,185.43
  5. Step 5: Solve for x
    x = 433,122,185.43/29,711.42
  6. Step 6: Final answer
    x = 14,577.63

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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.