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Finding the Fourth Proportional to 16,597.24, 22,922.64 and 11,282.84

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Solution

The fourth proportional to 16,597.24, 22,922.64 and 11,282.84 is: 15,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,597.24 : 22,922.64 = 11,282.84 : x
  2. Step 2: Convert to fraction form
    16,597.24/22,922.64 = 11,282.84/x
  3. Step 3: Cross multiply
    16,597.24x = 22,922.64 × 11,282.84
  4. Step 4: Simplify right side
    16,597.24x = 258,632,479.50
  5. Step 5: Solve for x
    x = 258,632,479.50/16,597.24
  6. Step 6: Final answer
    x = 15,582.86

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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.