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Finding the Fourth Proportional to 12,769.84, 17,634 and 9,620.56

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Solution

The fourth proportional to 12,769.84, 17,634 and 9,620.56 is: 13,285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769.84 : 17,634 = 9,620.56 : x
  2. Step 2: Convert to fraction form
    12,769.84/17,634 = 9,620.56/x
  3. Step 3: Cross multiply
    12,769.84x = 17,634 × 9,620.56
  4. Step 4: Simplify right side
    12,769.84x = 169,648,955.04
  5. Step 5: Solve for x
    x = 169,648,955.04/12,769.84
  6. Step 6: Final answer
    x = 13,285.13

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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.