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Finding the Fourth Proportional to 23,968.80, 35,948.56 and 7,324.80

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Solution

The fourth proportional to 23,968.80, 35,948.56 and 7,324.80 is: 10,985.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,968.80 : 35,948.56 = 7,324.80 : x
  2. Step 2: Convert to fraction form
    23,968.80/35,948.56 = 7,324.80/x
  3. Step 3: Cross multiply
    23,968.80x = 35,948.56 × 7,324.80
  4. Step 4: Simplify right side
    23,968.80x = 263,316,012.29
  5. Step 5: Solve for x
    x = 263,316,012.29/23,968.80
  6. Step 6: Final answer
    x = 10,985.78

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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.