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Finding the Fourth Proportional to 25,492.96, 38,244.24 and 7,958.56

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Solution

The fourth proportional to 25,492.96, 38,244.24 and 7,958.56 is: 11,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,492.96 : 38,244.24 = 7,958.56 : x
  2. Step 2: Convert to fraction form
    25,492.96/38,244.24 = 7,958.56/x
  3. Step 3: Cross multiply
    25,492.96x = 38,244.24 × 7,958.56
  4. Step 4: Simplify right side
    25,492.96x = 304,369,078.69
  5. Step 5: Solve for x
    x = 304,369,078.69/25,492.96
  6. Step 6: Final answer
    x = 11,939.34

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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.