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Finding the Fourth Proportional to 17,097.59, 25,638.15 and 8,084.20

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Solution

The fourth proportional to 17,097.59, 25,638.15 and 8,084.20 is: 12,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.59 : 25,638.15 = 8,084.20 : x
  2. Step 2: Convert to fraction form
    17,097.59/25,638.15 = 8,084.20/x
  3. Step 3: Cross multiply
    17,097.59x = 25,638.15 × 8,084.20
  4. Step 4: Simplify right side
    17,097.59x = 207,263,804.04
  5. Step 5: Solve for x
    x = 207,263,804.04/17,097.59
  6. Step 6: Final answer
    x = 12,122.40

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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.