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Finding the Fourth Proportional to 13,618.80, 18,794.03 and 7,568.64

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Solution

The fourth proportional to 13,618.80, 18,794.03 and 7,568.64 is: 10,444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,618.80 : 18,794.03 = 7,568.64 : x
  2. Step 2: Convert to fraction form
    13,618.80/18,794.03 = 7,568.64/x
  3. Step 3: Cross multiply
    13,618.80x = 18,794.03 × 7,568.64
  4. Step 4: Simplify right side
    13,618.80x = 142,245,209.38
  5. Step 5: Solve for x
    x = 142,245,209.38/13,618.80
  6. Step 6: Final answer
    x = 10,444.77

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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.