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Finding the Fourth Proportional to 23,572.44, 35,363.87 and 7,782.35

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Solution

The fourth proportional to 23,572.44, 35,363.87 and 7,782.35 is: 11,675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,572.44 : 35,363.87 = 7,782.35 : x
  2. Step 2: Convert to fraction form
    23,572.44/35,363.87 = 7,782.35/x
  3. Step 3: Cross multiply
    23,572.44x = 35,363.87 × 7,782.35
  4. Step 4: Simplify right side
    23,572.44x = 275,214,013.69
  5. Step 5: Solve for x
    x = 275,214,013.69/23,572.44
  6. Step 6: Final answer
    x = 11,675.25

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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.