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Finding the Fourth Proportional to 13,729.16, 20,544.53 and 11,886.63

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Solution

The fourth proportional to 13,729.16, 20,544.53 and 11,886.63 is: 17,787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.16 : 20,544.53 = 11,886.63 : x
  2. Step 2: Convert to fraction form
    13,729.16/20,544.53 = 11,886.63/x
  3. Step 3: Cross multiply
    13,729.16x = 20,544.53 × 11,886.63
  4. Step 4: Simplify right side
    13,729.16x = 244,205,167.20
  5. Step 5: Solve for x
    x = 244,205,167.20/13,729.16
  6. Step 6: Final answer
    x = 17,787.34

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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.