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Finding the Fourth Proportional to 23,930.34, 35,899.88 and 7,288.49

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Solution

The fourth proportional to 23,930.34, 35,899.88 and 7,288.49 is: 10,934.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,930.34 : 35,899.88 = 7,288.49 : x
  2. Step 2: Convert to fraction form
    23,930.34/35,899.88 = 7,288.49/x
  3. Step 3: Cross multiply
    23,930.34x = 35,899.88 × 7,288.49
  4. Step 4: Simplify right side
    23,930.34x = 261,655,700.44
  5. Step 5: Solve for x
    x = 261,655,700.44/23,930.34
  6. Step 6: Final answer
    x = 10,934.06

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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.