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Finding the Fourth Proportional to 22,347.64, 30,836.31 and 12,914.38

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Solution

The fourth proportional to 22,347.64, 30,836.31 and 12,914.38 is: 17,819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,347.64 : 30,836.31 = 12,914.38 : x
  2. Step 2: Convert to fraction form
    22,347.64/30,836.31 = 12,914.38/x
  3. Step 3: Cross multiply
    22,347.64x = 30,836.31 × 12,914.38
  4. Step 4: Simplify right side
    22,347.64x = 398,231,825.14
  5. Step 5: Solve for x
    x = 398,231,825.14/22,347.64
  6. Step 6: Final answer
    x = 17,819.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.