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Finding the Fourth Proportional to 13,009.64, 19,517.57 and 4,244.57

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Solution

The fourth proportional to 13,009.64, 19,517.57 and 4,244.57 is: 6,367.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.64 : 19,517.57 = 4,244.57 : x
  2. Step 2: Convert to fraction form
    13,009.64/19,517.57 = 4,244.57/x
  3. Step 3: Cross multiply
    13,009.64x = 19,517.57 × 4,244.57
  4. Step 4: Simplify right side
    13,009.64x = 82,843,573.28
  5. Step 5: Solve for x
    x = 82,843,573.28/13,009.64
  6. Step 6: Final answer
    x = 6,367.86

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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.