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Finding the Fourth Proportional to 18,270, 25,212.60 and 10,818

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Solution

The fourth proportional to 18,270, 25,212.60 and 10,818 is: 14,928.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,270 : 25,212.60 = 10,818 : x
  2. Step 2: Convert to fraction form
    18,270/25,212.60 = 10,818/x
  3. Step 3: Cross multiply
    18,270x = 25,212.60 × 10,818
  4. Step 4: Simplify right side
    18,270x = 272,749,906.80
  5. Step 5: Solve for x
    x = 272,749,906.80/18,270
  6. Step 6: Final answer
    x = 14,928.84

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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.