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Finding the Fourth Proportional to 23,854.83, 35,782.89 and 6,324.63

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Solution

The fourth proportional to 23,854.83, 35,782.89 and 6,324.63 is: 9,487.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,854.83 : 35,782.89 = 6,324.63 : x
  2. Step 2: Convert to fraction form
    23,854.83/35,782.89 = 6,324.63/x
  3. Step 3: Cross multiply
    23,854.83x = 35,782.89 × 6,324.63
  4. Step 4: Simplify right side
    23,854.83x = 226,313,539.58
  5. Step 5: Solve for x
    x = 226,313,539.58/23,854.83
  6. Step 6: Final answer
    x = 9,487.12

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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.