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Finding the Fourth Proportional to 21,470.74, 32,209.70 and 6,676.70

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Solution

The fourth proportional to 21,470.74, 32,209.70 and 6,676.70 is: 10,016.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,470.74 : 32,209.70 = 6,676.70 : x
  2. Step 2: Convert to fraction form
    21,470.74/32,209.70 = 6,676.70/x
  3. Step 3: Cross multiply
    21,470.74x = 32,209.70 × 6,676.70
  4. Step 4: Simplify right side
    21,470.74x = 215,054,309.56
  5. Step 5: Solve for x
    x = 215,054,309.56/21,470.74
  6. Step 6: Final answer
    x = 10,016.16

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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.