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Finding the Fourth Proportional to 13,273.88, 18,325.32 and 7,970

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Solution

The fourth proportional to 13,273.88, 18,325.32 and 7,970 is: 11,003.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,273.88 : 18,325.32 = 7,970 : x
  2. Step 2: Convert to fraction form
    13,273.88/18,325.32 = 7,970/x
  3. Step 3: Cross multiply
    13,273.88x = 18,325.32 × 7,970
  4. Step 4: Simplify right side
    13,273.88x = 146,052,800.40
  5. Step 5: Solve for x
    x = 146,052,800.40/13,273.88
  6. Step 6: Final answer
    x = 11,003.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.