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Finding the Fourth Proportional to 17,098.24, 23,584.08 and 12,860.32

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Solution

The fourth proportional to 17,098.24, 23,584.08 and 12,860.32 is: 17,738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098.24 : 23,584.08 = 12,860.32 : x
  2. Step 2: Convert to fraction form
    17,098.24/23,584.08 = 12,860.32/x
  3. Step 3: Cross multiply
    17,098.24x = 23,584.08 × 12,860.32
  4. Step 4: Simplify right side
    17,098.24x = 303,298,815.71
  5. Step 5: Solve for x
    x = 303,298,815.71/17,098.24
  6. Step 6: Final answer
    x = 17,738.60

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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.