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Finding the Fourth Proportional to 13,012.49, 17,951.33 and 8,293.84

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Solution

The fourth proportional to 13,012.49, 17,951.33 and 8,293.84 is: 11,441.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.49 : 17,951.33 = 8,293.84 : x
  2. Step 2: Convert to fraction form
    13,012.49/17,951.33 = 8,293.84/x
  3. Step 3: Cross multiply
    13,012.49x = 17,951.33 × 8,293.84
  4. Step 4: Simplify right side
    13,012.49x = 148,885,327.58
  5. Step 5: Solve for x
    x = 148,885,327.58/13,012.49
  6. Step 6: Final answer
    x = 11,441.72

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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.