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Finding the Fourth Proportional to 13,984.80, 20,885.16 and 12,141.60

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Solution

The fourth proportional to 13,984.80, 20,885.16 and 12,141.60 is: 18,132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.80 : 20,885.16 = 12,141.60 : x
  2. Step 2: Convert to fraction form
    13,984.80/20,885.16 = 12,141.60/x
  3. Step 3: Cross multiply
    13,984.80x = 20,885.16 × 12,141.60
  4. Step 4: Simplify right side
    13,984.80x = 253,579,258.66
  5. Step 5: Solve for x
    x = 253,579,258.66/13,984.80
  6. Step 6: Final answer
    x = 18,132.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.