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Finding the Fourth Proportional to 17,409.60, 26,124 and 8,175.36

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Solution

The fourth proportional to 17,409.60, 26,124 and 8,175.36 is: 12,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,409.60 : 26,124 = 8,175.36 : x
  2. Step 2: Convert to fraction form
    17,409.60/26,124 = 8,175.36/x
  3. Step 3: Cross multiply
    17,409.60x = 26,124 × 8,175.36
  4. Step 4: Simplify right side
    17,409.60x = 213,573,104.64
  5. Step 5: Solve for x
    x = 213,573,104.64/17,409.60
  6. Step 6: Final answer
    x = 12,267.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.