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Finding the Fourth Proportional to 17,212.80, 25,812.80 and 6,822.40

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Solution

The fourth proportional to 17,212.80, 25,812.80 and 6,822.40 is: 10,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,212.80 : 25,812.80 = 6,822.40 : x
  2. Step 2: Convert to fraction form
    17,212.80/25,812.80 = 6,822.40/x
  3. Step 3: Cross multiply
    17,212.80x = 25,812.80 × 6,822.40
  4. Step 4: Simplify right side
    17,212.80x = 176,105,246.72
  5. Step 5: Solve for x
    x = 176,105,246.72/17,212.80
  6. Step 6: Final answer
    x = 10,231.06

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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.