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Finding the Fourth Proportional to 17,076.80, 25,631.40 and 14,614.40

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Solution

The fourth proportional to 17,076.80, 25,631.40 and 14,614.40 is: 21,935.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,076.80 : 25,631.40 = 14,614.40 : x
  2. Step 2: Convert to fraction form
    17,076.80/25,631.40 = 14,614.40/x
  3. Step 3: Cross multiply
    17,076.80x = 25,631.40 × 14,614.40
  4. Step 4: Simplify right side
    17,076.80x = 374,587,532.16
  5. Step 5: Solve for x
    x = 374,587,532.16/17,076.80
  6. Step 6: Final answer
    x = 21,935.46

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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.