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Finding the Fourth Proportional to 23,513.90, 35,270.39 and 5,744.67

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Solution

The fourth proportional to 23,513.90, 35,270.39 and 5,744.67 is: 8,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,513.90 : 35,270.39 = 5,744.67 : x
  2. Step 2: Convert to fraction form
    23,513.90/35,270.39 = 5,744.67/x
  3. Step 3: Cross multiply
    23,513.90x = 35,270.39 × 5,744.67
  4. Step 4: Simplify right side
    23,513.90x = 202,616,799.50
  5. Step 5: Solve for x
    x = 202,616,799.50/23,513.90
  6. Step 6: Final answer
    x = 8,616.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.