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Finding the Fourth Proportional to 12,800.28, 17,665.68 and 7,135.96

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Solution

The fourth proportional to 12,800.28, 17,665.68 and 7,135.96 is: 9,848.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.28 : 17,665.68 = 7,135.96 : x
  2. Step 2: Convert to fraction form
    12,800.28/17,665.68 = 7,135.96/x
  3. Step 3: Cross multiply
    12,800.28x = 17,665.68 × 7,135.96
  4. Step 4: Simplify right side
    12,800.28x = 126,061,585.85
  5. Step 5: Solve for x
    x = 126,061,585.85/12,800.28
  6. Step 6: Final answer
    x = 9,848.35

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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.