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Finding the Fourth Proportional to 23,513.68, 35,270.79 and 5,983.53

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Solution

The fourth proportional to 23,513.68, 35,270.79 and 5,983.53 is: 8,975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,513.68 : 35,270.79 = 5,983.53 : x
  2. Step 2: Convert to fraction form
    23,513.68/35,270.79 = 5,983.53/x
  3. Step 3: Cross multiply
    23,513.68x = 35,270.79 × 5,983.53
  4. Step 4: Simplify right side
    23,513.68x = 211,043,830.09
  5. Step 5: Solve for x
    x = 211,043,830.09/23,513.68
  6. Step 6: Final answer
    x = 8,975.36

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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.