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Finding the Fourth Proportional to 25,462.56, 38,168.72 and 10,675.68

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Solution

The fourth proportional to 25,462.56, 38,168.72 and 10,675.68 is: 16,002.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,462.56 : 38,168.72 = 10,675.68 : x
  2. Step 2: Convert to fraction form
    25,462.56/38,168.72 = 10,675.68/x
  3. Step 3: Cross multiply
    25,462.56x = 38,168.72 × 10,675.68
  4. Step 4: Simplify right side
    25,462.56x = 407,477,040.73
  5. Step 5: Solve for x
    x = 407,477,040.73/25,462.56
  6. Step 6: Final answer
    x = 16,002.99

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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.