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Finding the Fourth Proportional to 21,479.84, 32,202.74 and 9,786.68

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Solution

The fourth proportional to 21,479.84, 32,202.74 and 9,786.68 is: 14,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,479.84 : 32,202.74 = 9,786.68 : x
  2. Step 2: Convert to fraction form
    21,479.84/32,202.74 = 9,786.68/x
  3. Step 3: Cross multiply
    21,479.84x = 32,202.74 × 9,786.68
  4. Step 4: Simplify right side
    21,479.84x = 315,157,911.50
  5. Step 5: Solve for x
    x = 315,157,911.50/21,479.84
  6. Step 6: Final answer
    x = 14,672.27

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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.