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Finding the Fourth Proportional to 22,682.37, 34,030.47 and 11,596.84

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Solution

The fourth proportional to 22,682.37, 34,030.47 and 11,596.84 is: 17,398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.37 : 34,030.47 = 11,596.84 : x
  2. Step 2: Convert to fraction form
    22,682.37/34,030.47 = 11,596.84/x
  3. Step 3: Cross multiply
    22,682.37x = 34,030.47 × 11,596.84
  4. Step 4: Simplify right side
    22,682.37x = 394,645,889.37
  5. Step 5: Solve for x
    x = 394,645,889.37/22,682.37
  6. Step 6: Final answer
    x = 17,398.80

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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.