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Finding the Fourth Proportional to 17,282.26, 23,849.37 and 9,830.26

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Solution

The fourth proportional to 17,282.26, 23,849.37 and 9,830.26 is: 13,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282.26 : 23,849.37 = 9,830.26 : x
  2. Step 2: Convert to fraction form
    17,282.26/23,849.37 = 9,830.26/x
  3. Step 3: Cross multiply
    17,282.26x = 23,849.37 × 9,830.26
  4. Step 4: Simplify right side
    17,282.26x = 234,445,507.94
  5. Step 5: Solve for x
    x = 234,445,507.94/17,282.26
  6. Step 6: Final answer
    x = 13,565.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.