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Finding the Fourth Proportional to 13,012.97, 19,524.92 and 6,774.57

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Solution

The fourth proportional to 13,012.97, 19,524.92 and 6,774.57 is: 10,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.97 : 19,524.92 = 6,774.57 : x
  2. Step 2: Convert to fraction form
    13,012.97/19,524.92 = 6,774.57/x
  3. Step 3: Cross multiply
    13,012.97x = 19,524.92 × 6,774.57
  4. Step 4: Simplify right side
    13,012.97x = 132,272,903.41
  5. Step 5: Solve for x
    x = 132,272,903.41/13,012.97
  6. Step 6: Final answer
    x = 10,164.70

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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.