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Finding the Fourth Proportional to 25,906.72, 38,860.32 and 7,438.72

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Solution

The fourth proportional to 25,906.72, 38,860.32 and 7,438.72 is: 11,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,906.72 : 38,860.32 = 7,438.72 : x
  2. Step 2: Convert to fraction form
    25,906.72/38,860.32 = 7,438.72/x
  3. Step 3: Cross multiply
    25,906.72x = 38,860.32 × 7,438.72
  4. Step 4: Simplify right side
    25,906.72x = 289,071,039.59
  5. Step 5: Solve for x
    x = 289,071,039.59/25,906.72
  6. Step 6: Final answer
    x = 11,158.15

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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.