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Finding the Fourth Proportional to 17,116.70, 23,608.41 and 10,823

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Solution

The fourth proportional to 17,116.70, 23,608.41 and 10,823 is: 14,927.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,116.70 : 23,608.41 = 10,823 : x
  2. Step 2: Convert to fraction form
    17,116.70/23,608.41 = 10,823/x
  3. Step 3: Cross multiply
    17,116.70x = 23,608.41 × 10,823
  4. Step 4: Simplify right side
    17,116.70x = 255,513,821.43
  5. Step 5: Solve for x
    x = 255,513,821.43/17,116.70
  6. Step 6: Final answer
    x = 14,927.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.