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Finding the Fourth Proportional to 18,698.38, 25,804.25 and 10,200.64

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Solution

The fourth proportional to 18,698.38, 25,804.25 and 10,200.64 is: 14,077.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,698.38 : 25,804.25 = 10,200.64 : x
  2. Step 2: Convert to fraction form
    18,698.38/25,804.25 = 10,200.64/x
  3. Step 3: Cross multiply
    18,698.38x = 25,804.25 × 10,200.64
  4. Step 4: Simplify right side
    18,698.38x = 263,219,684.70
  5. Step 5: Solve for x
    x = 263,219,684.70/18,698.38
  6. Step 6: Final answer
    x = 14,077.14

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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.