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Finding the Fourth Proportional to 12,800.28, 17,665.68 and 7,135.95

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Solution

The fourth proportional to 12,800.28, 17,665.68 and 7,135.95 is: 9,848.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.28 : 17,665.68 = 7,135.95 : x
  2. Step 2: Convert to fraction form
    12,800.28/17,665.68 = 7,135.95/x
  3. Step 3: Cross multiply
    12,800.28x = 17,665.68 × 7,135.95
  4. Step 4: Simplify right side
    12,800.28x = 126,061,409.20
  5. Step 5: Solve for x
    x = 126,061,409.20/12,800.28
  6. Step 6: Final answer
    x = 9,848.33

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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.