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Finding the Fourth Proportional to 14,469.40, 21,704.10 and 12,865.60

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Solution

The fourth proportional to 14,469.40, 21,704.10 and 12,865.60 is: 19,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.40 : 21,704.10 = 12,865.60 : x
  2. Step 2: Convert to fraction form
    14,469.40/21,704.10 = 12,865.60/x
  3. Step 3: Cross multiply
    14,469.40x = 21,704.10 × 12,865.60
  4. Step 4: Simplify right side
    14,469.40x = 279,236,268.96
  5. Step 5: Solve for x
    x = 279,236,268.96/14,469.40
  6. Step 6: Final answer
    x = 19,298.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.