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Finding the Fourth Proportional to 23,006.53, 31,759.70 and 17,343.57

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Solution

The fourth proportional to 23,006.53, 31,759.70 and 17,343.57 is: 23,942.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,006.53 : 31,759.70 = 17,343.57 : x
  2. Step 2: Convert to fraction form
    23,006.53/31,759.70 = 17,343.57/x
  3. Step 3: Cross multiply
    23,006.53x = 31,759.70 × 17,343.57
  4. Step 4: Simplify right side
    23,006.53x = 550,826,580.13
  5. Step 5: Solve for x
    x = 550,826,580.13/23,006.53
  6. Step 6: Final answer
    x = 23,942.18

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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.