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Finding the Fourth Proportional to 25,775.48, 38,626.74 and 10,969.49

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Solution

The fourth proportional to 25,775.48, 38,626.74 and 10,969.49 is: 16,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,775.48 : 38,626.74 = 10,969.49 : x
  2. Step 2: Convert to fraction form
    25,775.48/38,626.74 = 10,969.49/x
  3. Step 3: Cross multiply
    25,775.48x = 38,626.74 × 10,969.49
  4. Step 4: Simplify right side
    25,775.48x = 423,715,445.03
  5. Step 5: Solve for x
    x = 423,715,445.03/25,775.48
  6. Step 6: Final answer
    x = 16,438.71

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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.