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Finding the Fourth Proportional to 12,846.26, 17,736.30 and 8,602.76

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Solution

The fourth proportional to 12,846.26, 17,736.30 and 8,602.76 is: 11,877.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.26 : 17,736.30 = 8,602.76 : x
  2. Step 2: Convert to fraction form
    12,846.26/17,736.30 = 8,602.76/x
  3. Step 3: Cross multiply
    12,846.26x = 17,736.30 × 8,602.76
  4. Step 4: Simplify right side
    12,846.26x = 152,581,132.19
  5. Step 5: Solve for x
    x = 152,581,132.19/12,846.26
  6. Step 6: Final answer
    x = 11,877.48

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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.