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Finding the Fourth Proportional to 23,493.09, 35,240.82 and 6,854.37

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Solution

The fourth proportional to 23,493.09, 35,240.82 and 6,854.37 is: 10,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,493.09 : 35,240.82 = 6,854.37 : x
  2. Step 2: Convert to fraction form
    23,493.09/35,240.82 = 6,854.37/x
  3. Step 3: Cross multiply
    23,493.09x = 35,240.82 × 6,854.37
  4. Step 4: Simplify right side
    23,493.09x = 241,553,698.31
  5. Step 5: Solve for x
    x = 241,553,698.31/23,493.09
  6. Step 6: Final answer
    x = 10,281.90

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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.