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Finding the Fourth Proportional to 17,096.80, 25,661.40 and 14,634.40

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Solution

The fourth proportional to 17,096.80, 25,661.40 and 14,634.40 is: 21,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096.80 : 25,661.40 = 14,634.40 : x
  2. Step 2: Convert to fraction form
    17,096.80/25,661.40 = 14,634.40/x
  3. Step 3: Cross multiply
    17,096.80x = 25,661.40 × 14,634.40
  4. Step 4: Simplify right side
    17,096.80x = 375,539,192.16
  5. Step 5: Solve for x
    x = 375,539,192.16/17,096.80
  6. Step 6: Final answer
    x = 21,965.47

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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.