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Finding the Fourth Proportional to 14,611.60, 20,469.20 and 14,611.60

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Solution

The fourth proportional to 14,611.60, 20,469.20 and 14,611.60 is: 20,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,611.60 : 20,469.20 = 14,611.60 : x
  2. Step 2: Convert to fraction form
    14,611.60/20,469.20 = 14,611.60/x
  3. Step 3: Cross multiply
    14,611.60x = 20,469.20 × 14,611.60
  4. Step 4: Simplify right side
    14,611.60x = 299,087,762.72
  5. Step 5: Solve for x
    x = 299,087,762.72/14,611.60
  6. Step 6: Final answer
    x = 20,469.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.