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Finding the Fourth Proportional to 14,575.20, 21,814.20 and 10,201.20

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Solution

The fourth proportional to 14,575.20, 21,814.20 and 10,201.20 is: 15,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.20 : 21,814.20 = 10,201.20 : x
  2. Step 2: Convert to fraction form
    14,575.20/21,814.20 = 10,201.20/x
  3. Step 3: Cross multiply
    14,575.20x = 21,814.20 × 10,201.20
  4. Step 4: Simplify right side
    14,575.20x = 222,531,017.04
  5. Step 5: Solve for x
    x = 222,531,017.04/14,575.20
  6. Step 6: Final answer
    x = 15,267.78

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1.5x scale

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.