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Finding the Fourth Proportional to 13,582.42, 18,728.67 and 9,596.68

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Solution

The fourth proportional to 13,582.42, 18,728.67 and 9,596.68 is: 13,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582.42 : 18,728.67 = 9,596.68 : x
  2. Step 2: Convert to fraction form
    13,582.42/18,728.67 = 9,596.68/x
  3. Step 3: Cross multiply
    13,582.42x = 18,728.67 × 9,596.68
  4. Step 4: Simplify right side
    13,582.42x = 179,733,052.82
  5. Step 5: Solve for x
    x = 179,733,052.82/13,582.42
  6. Step 6: Final answer
    x = 13,232.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.