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Finding the Fourth Proportional to 17,102.56, 25,632.24 and 14,568.16

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Solution

The fourth proportional to 17,102.56, 25,632.24 and 14,568.16 is: 21,833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.56 : 25,632.24 = 14,568.16 : x
  2. Step 2: Convert to fraction form
    17,102.56/25,632.24 = 14,568.16/x
  3. Step 3: Cross multiply
    17,102.56x = 25,632.24 × 14,568.16
  4. Step 4: Simplify right side
    17,102.56x = 373,414,573.48
  5. Step 5: Solve for x
    x = 373,414,573.48/17,102.56
  6. Step 6: Final answer
    x = 21,833.84

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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.