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Finding the Fourth Proportional to 18,611.68, 25,684.32 and 10,228

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Solution

The fourth proportional to 18,611.68, 25,684.32 and 10,228 is: 14,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,611.68 : 25,684.32 = 10,228 : x
  2. Step 2: Convert to fraction form
    18,611.68/25,684.32 = 10,228/x
  3. Step 3: Cross multiply
    18,611.68x = 25,684.32 × 10,228
  4. Step 4: Simplify right side
    18,611.68x = 262,699,224.96
  5. Step 5: Solve for x
    x = 262,699,224.96/18,611.68
  6. Step 6: Final answer
    x = 14,114.75

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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.