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Finding the Fourth Proportional to 23,470.80, 35,207.80 and 6,830.96

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Solution

The fourth proportional to 23,470.80, 35,207.80 and 6,830.96 is: 10,246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,470.80 : 35,207.80 = 6,830.96 : x
  2. Step 2: Convert to fraction form
    23,470.80/35,207.80 = 6,830.96/x
  3. Step 3: Cross multiply
    23,470.80x = 35,207.80 × 6,830.96
  4. Step 4: Simplify right side
    23,470.80x = 240,503,073.49
  5. Step 5: Solve for x
    x = 240,503,073.49/23,470.80
  6. Step 6: Final answer
    x = 10,246.91

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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.