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Finding the Fourth Proportional to 12,201.96, 16,838.06 and 6,897.04

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Solution

The fourth proportional to 12,201.96, 16,838.06 and 6,897.04 is: 9,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.96 : 16,838.06 = 6,897.04 : x
  2. Step 2: Convert to fraction form
    12,201.96/16,838.06 = 6,897.04/x
  3. Step 3: Cross multiply
    12,201.96x = 16,838.06 × 6,897.04
  4. Step 4: Simplify right side
    12,201.96x = 116,132,773.34
  5. Step 5: Solve for x
    x = 116,132,773.34/12,201.96
  6. Step 6: Final answer
    x = 9,517.55

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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.