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Finding the Fourth Proportional to 17,830.50, 26,744.48 and 7,442.26

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Solution

The fourth proportional to 17,830.50, 26,744.48 and 7,442.26 is: 11,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.50 : 26,744.48 = 7,442.26 : x
  2. Step 2: Convert to fraction form
    17,830.50/26,744.48 = 7,442.26/x
  3. Step 3: Cross multiply
    17,830.50x = 26,744.48 × 7,442.26
  4. Step 4: Simplify right side
    17,830.50x = 199,039,373.72
  5. Step 5: Solve for x
    x = 199,039,373.72/17,830.50
  6. Step 6: Final answer
    x = 11,162.86

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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.