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Finding the Fourth Proportional to 17,705.84, 26,561.48 and 6,016.32

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Solution

The fourth proportional to 17,705.84, 26,561.48 and 6,016.32 is: 9,025.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.84 : 26,561.48 = 6,016.32 : x
  2. Step 2: Convert to fraction form
    17,705.84/26,561.48 = 6,016.32/x
  3. Step 3: Cross multiply
    17,705.84x = 26,561.48 × 6,016.32
  4. Step 4: Simplify right side
    17,705.84x = 159,802,333.27
  5. Step 5: Solve for x
    x = 159,802,333.27/17,705.84
  6. Step 6: Final answer
    x = 9,025.41

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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.