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Finding the Fourth Proportional to 13,455.36, 18,568.32 and 7,866.24

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Solution

The fourth proportional to 13,455.36, 18,568.32 and 7,866.24 is: 10,855.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,455.36 : 18,568.32 = 7,866.24 : x
  2. Step 2: Convert to fraction form
    13,455.36/18,568.32 = 7,866.24/x
  3. Step 3: Cross multiply
    13,455.36x = 18,568.32 × 7,866.24
  4. Step 4: Simplify right side
    13,455.36x = 146,062,861.52
  5. Step 5: Solve for x
    x = 146,062,861.52/13,455.36
  6. Step 6: Final answer
    x = 10,855.37

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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.