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Finding the Fourth Proportional to 15,765.78, 23,606.94 and 9,517.44

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Solution

The fourth proportional to 15,765.78, 23,606.94 and 9,517.44 is: 14,250.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.78 : 23,606.94 = 9,517.44 : x
  2. Step 2: Convert to fraction form
    15,765.78/23,606.94 = 9,517.44/x
  3. Step 3: Cross multiply
    15,765.78x = 23,606.94 × 9,517.44
  4. Step 4: Simplify right side
    15,765.78x = 224,677,635.03
  5. Step 5: Solve for x
    x = 224,677,635.03/15,765.78
  6. Step 6: Final answer
    x = 14,250.97

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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.