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Finding the Fourth Proportional to 17,097.40, 25,638.36 and 7,231.60

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Solution

The fourth proportional to 17,097.40, 25,638.36 and 7,231.60 is: 10,844.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.40 : 25,638.36 = 7,231.60 : x
  2. Step 2: Convert to fraction form
    17,097.40/25,638.36 = 7,231.60/x
  3. Step 3: Cross multiply
    17,097.40x = 25,638.36 × 7,231.60
  4. Step 4: Simplify right side
    17,097.40x = 185,406,364.18
  5. Step 5: Solve for x
    x = 185,406,364.18/17,097.40
  6. Step 6: Final answer
    x = 10,844.13

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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.