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Finding the Fourth Proportional to 12,197.40, 16,832.19 and 6,892.10

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Solution

The fourth proportional to 12,197.40, 16,832.19 and 6,892.10 is: 9,510.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.40 : 16,832.19 = 6,892.10 : x
  2. Step 2: Convert to fraction form
    12,197.40/16,832.19 = 6,892.10/x
  3. Step 3: Cross multiply
    12,197.40x = 16,832.19 × 6,892.10
  4. Step 4: Simplify right side
    12,197.40x = 116,009,102.74
  5. Step 5: Solve for x
    x = 116,009,102.74/12,197.40
  6. Step 6: Final answer
    x = 9,510.97

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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.