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Finding the Fourth Proportional to 17,829.84, 26,736.86 and 9,508.31

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Solution

The fourth proportional to 17,829.84, 26,736.86 and 9,508.31 is: 14,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.84 : 26,736.86 = 9,508.31 : x
  2. Step 2: Convert to fraction form
    17,829.84/26,736.86 = 9,508.31/x
  3. Step 3: Cross multiply
    17,829.84x = 26,736.86 × 9,508.31
  4. Step 4: Simplify right side
    17,829.84x = 254,222,172.08
  5. Step 5: Solve for x
    x = 254,222,172.08/17,829.84
  6. Step 6: Final answer
    x = 14,258.24

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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.