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Finding the Fourth Proportional to 12,435.40, 17,160.82 and 6,770.06

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Solution

The fourth proportional to 12,435.40, 17,160.82 and 6,770.06 is: 9,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.40 : 17,160.82 = 6,770.06 : x
  2. Step 2: Convert to fraction form
    12,435.40/17,160.82 = 6,770.06/x
  3. Step 3: Cross multiply
    12,435.40x = 17,160.82 × 6,770.06
  4. Step 4: Simplify right side
    12,435.40x = 116,179,781.05
  5. Step 5: Solve for x
    x = 116,179,781.05/12,435.40
  6. Step 6: Final answer
    x = 9,342.67

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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.