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Finding the Fourth Proportional to 13,698.37, 18,907.37 and 8,033.95

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Solution

The fourth proportional to 13,698.37, 18,907.37 and 8,033.95 is: 11,088.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.37 : 18,907.37 = 8,033.95 : x
  2. Step 2: Convert to fraction form
    13,698.37/18,907.37 = 8,033.95/x
  3. Step 3: Cross multiply
    13,698.37x = 18,907.37 × 8,033.95
  4. Step 4: Simplify right side
    13,698.37x = 151,900,865.21
  5. Step 5: Solve for x
    x = 151,900,865.21/13,698.37
  6. Step 6: Final answer
    x = 11,088.97

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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.