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Finding the Fourth Proportional to 17,084.30, 25,633.65 and 8,314.70

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Solution

The fourth proportional to 17,084.30, 25,633.65 and 8,314.70 is: 12,475.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084.30 : 25,633.65 = 8,314.70 : x
  2. Step 2: Convert to fraction form
    17,084.30/25,633.65 = 8,314.70/x
  3. Step 3: Cross multiply
    17,084.30x = 25,633.65 × 8,314.70
  4. Step 4: Simplify right side
    17,084.30x = 213,136,109.66
  5. Step 5: Solve for x
    x = 213,136,109.66/17,084.30
  6. Step 6: Final answer
    x = 12,475.55

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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.