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Finding the Fourth Proportional to 12,353.82, 17,047.96 and 6,902.94

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Solution

The fourth proportional to 12,353.82, 17,047.96 and 6,902.94 is: 9,525.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353.82 : 17,047.96 = 6,902.94 : x
  2. Step 2: Convert to fraction form
    12,353.82/17,047.96 = 6,902.94/x
  3. Step 3: Cross multiply
    12,353.82x = 17,047.96 × 6,902.94
  4. Step 4: Simplify right side
    12,353.82x = 117,680,959.76
  5. Step 5: Solve for x
    x = 117,680,959.76/12,353.82
  6. Step 6: Final answer
    x = 9,525.88

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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.