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Finding the Fourth Proportional to 21,628.86, 29,847.84 and 12,197.42

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Solution

The fourth proportional to 21,628.86, 29,847.84 and 12,197.42 is: 16,832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,628.86 : 29,847.84 = 12,197.42 : x
  2. Step 2: Convert to fraction form
    21,628.86/29,847.84 = 12,197.42/x
  3. Step 3: Cross multiply
    21,628.86x = 29,847.84 × 12,197.42
  4. Step 4: Simplify right side
    21,628.86x = 364,066,715.19
  5. Step 5: Solve for x
    x = 364,066,715.19/21,628.86
  6. Step 6: Final answer
    x = 16,832.45

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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.