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Finding the Fourth Proportional to 12,836.67, 17,677.76 and 11,029.71

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Solution

The fourth proportional to 12,836.67, 17,677.76 and 11,029.71 is: 15,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,836.67 : 17,677.76 = 11,029.71 : x
  2. Step 2: Convert to fraction form
    12,836.67/17,677.76 = 11,029.71/x
  3. Step 3: Cross multiply
    12,836.67x = 17,677.76 × 11,029.71
  4. Step 4: Simplify right side
    12,836.67x = 194,980,511.10
  5. Step 5: Solve for x
    x = 194,980,511.10/12,836.67
  6. Step 6: Final answer
    x = 15,189.34

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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.