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Finding the Fourth Proportional to 17,282.34, 23,813.64 and 13,499.64

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Solution

The fourth proportional to 17,282.34, 23,813.64 and 13,499.64 is: 18,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282.34 : 23,813.64 = 13,499.64 : x
  2. Step 2: Convert to fraction form
    17,282.34/23,813.64 = 13,499.64/x
  3. Step 3: Cross multiply
    17,282.34x = 23,813.64 × 13,499.64
  4. Step 4: Simplify right side
    17,282.34x = 321,475,567.09
  5. Step 5: Solve for x
    x = 321,475,567.09/17,282.34
  6. Step 6: Final answer
    x = 18,601.39

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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.