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Finding the Fourth Proportional to 17,705.53, 26,549.14 and 5,223.96

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Solution

The fourth proportional to 17,705.53, 26,549.14 and 5,223.96 is: 7,833.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.53 : 26,549.14 = 5,223.96 : x
  2. Step 2: Convert to fraction form
    17,705.53/26,549.14 = 5,223.96/x
  3. Step 3: Cross multiply
    17,705.53x = 26,549.14 × 5,223.96
  4. Step 4: Simplify right side
    17,705.53x = 138,691,645.39
  5. Step 5: Solve for x
    x = 138,691,645.39/17,705.53
  6. Step 6: Final answer
    x = 7,833.24

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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.