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Finding the Fourth Proportional to 17,164.64, 25,715.87 and 14,409.02

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Solution

The fourth proportional to 17,164.64, 25,715.87 and 14,409.02 is: 21,587.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,164.64 : 25,715.87 = 14,409.02 : x
  2. Step 2: Convert to fraction form
    17,164.64/25,715.87 = 14,409.02/x
  3. Step 3: Cross multiply
    17,164.64x = 25,715.87 × 14,409.02
  4. Step 4: Simplify right side
    17,164.64x = 370,540,485.15
  5. Step 5: Solve for x
    x = 370,540,485.15/17,164.64
  6. Step 6: Final answer
    x = 21,587.43

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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.