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Finding the Fourth Proportional to 25,820.44, 38,732.10 and 7,351

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Solution

The fourth proportional to 25,820.44, 38,732.10 and 7,351 is: 11,026.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,820.44 : 38,732.10 = 7,351 : x
  2. Step 2: Convert to fraction form
    25,820.44/38,732.10 = 7,351/x
  3. Step 3: Cross multiply
    25,820.44x = 38,732.10 × 7,351
  4. Step 4: Simplify right side
    25,820.44x = 284,719,667.10
  5. Step 5: Solve for x
    x = 284,719,667.10/25,820.44
  6. Step 6: Final answer
    x = 11,026.91

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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.