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Finding the Fourth Proportional to 17,185.80, 25,805.10 and 9,409.80

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Solution

The fourth proportional to 17,185.80, 25,805.10 and 9,409.80 is: 14,129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,185.80 : 25,805.10 = 9,409.80 : x
  2. Step 2: Convert to fraction form
    17,185.80/25,805.10 = 9,409.80/x
  3. Step 3: Cross multiply
    17,185.80x = 25,805.10 × 9,409.80
  4. Step 4: Simplify right side
    17,185.80x = 242,820,829.98
  5. Step 5: Solve for x
    x = 242,820,829.98/17,185.80
  6. Step 6: Final answer
    x = 14,129.15

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