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Finding the Fourth Proportional to 23,196, 31,980.57 and 18,942.57

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Solution

The fourth proportional to 23,196, 31,980.57 and 18,942.57 is: 26,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,196 : 31,980.57 = 18,942.57 : x
  2. Step 2: Convert to fraction form
    23,196/31,980.57 = 18,942.57/x
  3. Step 3: Cross multiply
    23,196x = 31,980.57 × 18,942.57
  4. Step 4: Simplify right side
    23,196x = 605,794,185.86
  5. Step 5: Solve for x
    x = 605,794,185.86/23,196
  6. Step 6: Final answer
    x = 26,116.32

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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.