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Finding the Fourth Proportional to 12,346.34, 17,037.82 and 6,680.96

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Solution

The fourth proportional to 12,346.34, 17,037.82 and 6,680.96 is: 9,219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.34 : 17,037.82 = 6,680.96 : x
  2. Step 2: Convert to fraction form
    12,346.34/17,037.82 = 6,680.96/x
  3. Step 3: Cross multiply
    12,346.34x = 17,037.82 × 6,680.96
  4. Step 4: Simplify right side
    12,346.34x = 113,828,892.02
  5. Step 5: Solve for x
    x = 113,828,892.02/12,346.34
  6. Step 6: Final answer
    x = 9,219.65

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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.