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Finding the Fourth Proportional to 12,760.84, 17,605.04 and 9,411.59

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Solution

The fourth proportional to 12,760.84, 17,605.04 and 9,411.59 is: 12,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.84 : 17,605.04 = 9,411.59 : x
  2. Step 2: Convert to fraction form
    12,760.84/17,605.04 = 9,411.59/x
  3. Step 3: Cross multiply
    12,760.84x = 17,605.04 × 9,411.59
  4. Step 4: Simplify right side
    12,760.84x = 165,691,418.41
  5. Step 5: Solve for x
    x = 165,691,418.41/12,760.84
  6. Step 6: Final answer
    x = 12,984.37

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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.