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Finding the Fourth Proportional to 13,698.64, 18,902.68 and 8,034

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Solution

The fourth proportional to 13,698.64, 18,902.68 and 8,034 is: 11,086.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.64 : 18,902.68 = 8,034 : x
  2. Step 2: Convert to fraction form
    13,698.64/18,902.68 = 8,034/x
  3. Step 3: Cross multiply
    13,698.64x = 18,902.68 × 8,034
  4. Step 4: Simplify right side
    13,698.64x = 151,864,131.12
  5. Step 5: Solve for x
    x = 151,864,131.12/13,698.64
  6. Step 6: Final answer
    x = 11,086.07

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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.