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Finding the Fourth Proportional to 13,817.49, 20,733.57 and 6,026.91

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Solution

The fourth proportional to 13,817.49, 20,733.57 and 6,026.91 is: 9,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.49 : 20,733.57 = 6,026.91 : x
  2. Step 2: Convert to fraction form
    13,817.49/20,733.57 = 6,026.91/x
  3. Step 3: Cross multiply
    13,817.49x = 20,733.57 × 6,026.91
  4. Step 4: Simplify right side
    13,817.49x = 124,959,360.37
  5. Step 5: Solve for x
    x = 124,959,360.37/13,817.49
  6. Step 6: Final answer
    x = 9,043.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.