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Finding the Fourth Proportional to 17,201.64, 23,738.54 and 9,649.65

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Solution

The fourth proportional to 17,201.64, 23,738.54 and 9,649.65 is: 13,316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201.64 : 23,738.54 = 9,649.65 : x
  2. Step 2: Convert to fraction form
    17,201.64/23,738.54 = 9,649.65/x
  3. Step 3: Cross multiply
    17,201.64x = 23,738.54 × 9,649.65
  4. Step 4: Simplify right side
    17,201.64x = 229,068,554.26
  5. Step 5: Solve for x
    x = 229,068,554.26/17,201.64
  6. Step 6: Final answer
    x = 13,316.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.