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Finding the Fourth Proportional to 13,728.90, 18,931.72 and 11,746.02

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Solution

The fourth proportional to 13,728.90, 18,931.72 and 11,746.02 is: 16,197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.90 : 18,931.72 = 11,746.02 : x
  2. Step 2: Convert to fraction form
    13,728.90/18,931.72 = 11,746.02/x
  3. Step 3: Cross multiply
    13,728.90x = 18,931.72 × 11,746.02
  4. Step 4: Simplify right side
    13,728.90x = 222,372,361.75
  5. Step 5: Solve for x
    x = 222,372,361.75/13,728.90
  6. Step 6: Final answer
    x = 16,197.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.