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Finding the Fourth Proportional to 12,435.84, 17,161.68 and 6,770.76

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Solution

The fourth proportional to 12,435.84, 17,161.68 and 6,770.76 is: 9,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.84 : 17,161.68 = 6,770.76 : x
  2. Step 2: Convert to fraction form
    12,435.84/17,161.68 = 6,770.76/x
  3. Step 3: Cross multiply
    12,435.84x = 17,161.68 × 6,770.76
  4. Step 4: Simplify right side
    12,435.84x = 116,197,616.48
  5. Step 5: Solve for x
    x = 116,197,616.48/12,435.84
  6. Step 6: Final answer
    x = 9,343.77

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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.