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Finding the Fourth Proportional to 12,808.96, 17,676.28 and 7,143.76

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Solution

The fourth proportional to 12,808.96, 17,676.28 and 7,143.76 is: 9,858.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.96 : 17,676.28 = 7,143.76 : x
  2. Step 2: Convert to fraction form
    12,808.96/17,676.28 = 7,143.76/x
  3. Step 3: Cross multiply
    12,808.96x = 17,676.28 × 7,143.76
  4. Step 4: Simplify right side
    12,808.96x = 126,275,102.01
  5. Step 5: Solve for x
    x = 126,275,102.01/12,808.96
  6. Step 6: Final answer
    x = 9,858.34

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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.