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Finding the Fourth Proportional to 18,639, 25,722.36 and 10,255.50

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Solution

The fourth proportional to 18,639, 25,722.36 and 10,255.50 is: 14,152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,639 : 25,722.36 = 10,255.50 : x
  2. Step 2: Convert to fraction form
    18,639/25,722.36 = 10,255.50/x
  3. Step 3: Cross multiply
    18,639x = 25,722.36 × 10,255.50
  4. Step 4: Simplify right side
    18,639x = 263,795,662.98
  5. Step 5: Solve for x
    x = 263,795,662.98/18,639
  6. Step 6: Final answer
    x = 14,152.89

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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.