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Finding the Fourth Proportional to 12,197.12, 16,832.64 and 6,820.16

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Solution

The fourth proportional to 12,197.12, 16,832.64 and 6,820.16 is: 9,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.12 : 16,832.64 = 6,820.16 : x
  2. Step 2: Convert to fraction form
    12,197.12/16,832.64 = 6,820.16/x
  3. Step 3: Cross multiply
    12,197.12x = 16,832.64 × 6,820.16
  4. Step 4: Simplify right side
    12,197.12x = 114,801,298.02
  5. Step 5: Solve for x
    x = 114,801,298.02/12,197.12
  6. Step 6: Final answer
    x = 9,412.16

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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.