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Finding the Fourth Proportional to 25,796.50, 38,697 and 7,328.50

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Solution

The fourth proportional to 25,796.50, 38,697 and 7,328.50 is: 10,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,796.50 : 38,697 = 7,328.50 : x
  2. Step 2: Convert to fraction form
    25,796.50/38,697 = 7,328.50/x
  3. Step 3: Cross multiply
    25,796.50x = 38,697 × 7,328.50
  4. Step 4: Simplify right side
    25,796.50x = 283,590,964.50
  5. Step 5: Solve for x
    x = 283,590,964.50/25,796.50
  6. Step 6: Final answer
    x = 10,993.39

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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.