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Finding the Fourth Proportional to 24,147, 33,322.98 and 14,082.42

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Solution

The fourth proportional to 24,147, 33,322.98 and 14,082.42 is: 19,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,147 : 33,322.98 = 14,082.42 : x
  2. Step 2: Convert to fraction form
    24,147/33,322.98 = 14,082.42/x
  3. Step 3: Cross multiply
    24,147x = 33,322.98 × 14,082.42
  4. Step 4: Simplify right side
    24,147x = 469,268,200.01
  5. Step 5: Solve for x
    x = 469,268,200.01/24,147
  6. Step 6: Final answer
    x = 19,433.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.