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Finding the Fourth Proportional to 23,133, 34,696.92 and 6,493.68

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Solution

The fourth proportional to 23,133, 34,696.92 and 6,493.68 is: 9,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133 : 34,696.92 = 6,493.68 : x
  2. Step 2: Convert to fraction form
    23,133/34,696.92 = 6,493.68/x
  3. Step 3: Cross multiply
    23,133x = 34,696.92 × 6,493.68
  4. Step 4: Simplify right side
    23,133x = 225,310,695.47
  5. Step 5: Solve for x
    x = 225,310,695.47/23,133
  6. Step 6: Final answer
    x = 9,739.80

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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.