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Finding the Fourth Proportional to 13,226.37, 19,842.29 and 5,830.67

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Solution

The fourth proportional to 13,226.37, 19,842.29 and 5,830.67 is: 8,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,226.37 : 19,842.29 = 5,830.67 : x
  2. Step 2: Convert to fraction form
    13,226.37/19,842.29 = 5,830.67/x
  3. Step 3: Cross multiply
    13,226.37x = 19,842.29 × 5,830.67
  4. Step 4: Simplify right side
    13,226.37x = 115,693,716.67
  5. Step 5: Solve for x
    x = 115,693,716.67/13,226.37
  6. Step 6: Final answer
    x = 8,747.20

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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.