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Finding the Fourth Proportional to 15,805.85, 23,709.68 and 5,945.21

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Solution

The fourth proportional to 15,805.85, 23,709.68 and 5,945.21 is: 8,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.85 : 23,709.68 = 5,945.21 : x
  2. Step 2: Convert to fraction form
    15,805.85/23,709.68 = 5,945.21/x
  3. Step 3: Cross multiply
    15,805.85x = 23,709.68 × 5,945.21
  4. Step 4: Simplify right side
    15,805.85x = 140,958,878.36
  5. Step 5: Solve for x
    x = 140,958,878.36/15,805.85
  6. Step 6: Final answer
    x = 8,918.15

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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.