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Finding the Fourth Proportional to 17,084.70, 25,578.45 and 13,164.30

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Solution

The fourth proportional to 17,084.70, 25,578.45 and 13,164.30 is: 19,709.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084.70 : 25,578.45 = 13,164.30 : x
  2. Step 2: Convert to fraction form
    17,084.70/25,578.45 = 13,164.30/x
  3. Step 3: Cross multiply
    17,084.70x = 25,578.45 × 13,164.30
  4. Step 4: Simplify right side
    17,084.70x = 336,722,389.34
  5. Step 5: Solve for x
    x = 336,722,389.34/17,084.70
  6. Step 6: Final answer
    x = 19,709.00

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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.