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Finding the Fourth Proportional to 17,882.10, 26,806.86 and 9,123.30

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Solution

The fourth proportional to 17,882.10, 26,806.86 and 9,123.30 is: 13,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.10 : 26,806.86 = 9,123.30 : x
  2. Step 2: Convert to fraction form
    17,882.10/26,806.86 = 9,123.30/x
  3. Step 3: Cross multiply
    17,882.10x = 26,806.86 × 9,123.30
  4. Step 4: Simplify right side
    17,882.10x = 244,567,025.84
  5. Step 5: Solve for x
    x = 244,567,025.84/17,882.10
  6. Step 6: Final answer
    x = 13,676.64

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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.