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Finding the Fourth Proportional to 17,294.12, 25,951.68 and 6,905

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Solution

The fourth proportional to 17,294.12, 25,951.68 and 6,905 is: 10,361.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,294.12 : 25,951.68 = 6,905 : x
  2. Step 2: Convert to fraction form
    17,294.12/25,951.68 = 6,905/x
  3. Step 3: Cross multiply
    17,294.12x = 25,951.68 × 6,905
  4. Step 4: Simplify right side
    17,294.12x = 179,196,350.40
  5. Step 5: Solve for x
    x = 179,196,350.40/17,294.12
  6. Step 6: Final answer
    x = 10,361.69

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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.