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Finding the Fourth Proportional to 17,122.16, 23,628.28 and 9,568

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Solution

The fourth proportional to 17,122.16, 23,628.28 and 9,568 is: 13,203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,122.16 : 23,628.28 = 9,568 : x
  2. Step 2: Convert to fraction form
    17,122.16/23,628.28 = 9,568/x
  3. Step 3: Cross multiply
    17,122.16x = 23,628.28 × 9,568
  4. Step 4: Simplify right side
    17,122.16x = 226,075,383.04
  5. Step 5: Solve for x
    x = 226,075,383.04/17,122.16
  6. Step 6: Final answer
    x = 13,203.67

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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.