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Finding the Fourth Proportional to 17,976, 26,969.32 and 9,217.06

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Solution

The fourth proportional to 17,976, 26,969.32 and 9,217.06 is: 13,828.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,976 : 26,969.32 = 9,217.06 : x
  2. Step 2: Convert to fraction form
    17,976/26,969.32 = 9,217.06/x
  3. Step 3: Cross multiply
    17,976x = 26,969.32 × 9,217.06
  4. Step 4: Simplify right side
    17,976x = 248,577,840.60
  5. Step 5: Solve for x
    x = 248,577,840.60/17,976
  6. Step 6: Final answer
    x = 13,828.32

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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.