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Finding the Fourth Proportional to 21,519.60, 32,284.80 and 10,431.60

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Solution

The fourth proportional to 21,519.60, 32,284.80 and 10,431.60 is: 15,650.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,519.60 : 32,284.80 = 10,431.60 : x
  2. Step 2: Convert to fraction form
    21,519.60/32,284.80 = 10,431.60/x
  3. Step 3: Cross multiply
    21,519.60x = 32,284.80 × 10,431.60
  4. Step 4: Simplify right side
    21,519.60x = 336,782,119.68
  5. Step 5: Solve for x
    x = 336,782,119.68/21,519.60
  6. Step 6: Final answer
    x = 15,650.02

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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.