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Finding the Fourth Proportional to 23,782.80, 35,671.12 and 8,989.79

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Solution

The fourth proportional to 23,782.80, 35,671.12 and 8,989.79 is: 13,483.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.80 : 35,671.12 = 8,989.79 : x
  2. Step 2: Convert to fraction form
    23,782.80/35,671.12 = 8,989.79/x
  3. Step 3: Cross multiply
    23,782.80x = 35,671.12 × 8,989.79
  4. Step 4: Simplify right side
    23,782.80x = 320,675,883.12
  5. Step 5: Solve for x
    x = 320,675,883.12/23,782.80
  6. Step 6: Final answer
    x = 13,483.52

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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.