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Finding the Fourth Proportional to 23,988.57, 35,985.33 and 9,209.85

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Solution

The fourth proportional to 23,988.57, 35,985.33 and 9,209.85 is: 13,815.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,988.57 : 35,985.33 = 9,209.85 : x
  2. Step 2: Convert to fraction form
    23,988.57/35,985.33 = 9,209.85/x
  3. Step 3: Cross multiply
    23,988.57x = 35,985.33 × 9,209.85
  4. Step 4: Simplify right side
    23,988.57x = 331,419,491.50
  5. Step 5: Solve for x
    x = 331,419,491.50/23,988.57
  6. Step 6: Final answer
    x = 13,815.73

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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.