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Finding the Fourth Proportional to 23,983.89, 35,978.40 and 9,205.44

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Solution

The fourth proportional to 23,983.89, 35,978.40 and 9,205.44 is: 13,809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,983.89 : 35,978.40 = 9,205.44 : x
  2. Step 2: Convert to fraction form
    23,983.89/35,978.40 = 9,205.44/x
  3. Step 3: Cross multiply
    23,983.89x = 35,978.40 × 9,205.44
  4. Step 4: Simplify right side
    23,983.89x = 331,197,002.50
  5. Step 5: Solve for x
    x = 331,197,002.50/23,983.89
  6. Step 6: Final answer
    x = 13,809.14

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1.5x scale

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.