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Finding the Fourth Proportional to 17,205.90, 25,816.14 and 9,405.60

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Solution

The fourth proportional to 17,205.90, 25,816.14 and 9,405.60 is: 14,112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205.90 : 25,816.14 = 9,405.60 : x
  2. Step 2: Convert to fraction form
    17,205.90/25,816.14 = 9,405.60/x
  3. Step 3: Cross multiply
    17,205.90x = 25,816.14 × 9,405.60
  4. Step 4: Simplify right side
    17,205.90x = 242,816,286.38
  5. Step 5: Solve for x
    x = 242,816,286.38/17,205.90
  6. Step 6: Final answer
    x = 14,112.39

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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.