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Finding the Fourth Proportional to 22,201.96, 30,608.68 and 17,427

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Solution

The fourth proportional to 22,201.96, 30,608.68 and 17,427 is: 24,025.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,201.96 : 30,608.68 = 17,427 : x
  2. Step 2: Convert to fraction form
    22,201.96/30,608.68 = 17,427/x
  3. Step 3: Cross multiply
    22,201.96x = 30,608.68 × 17,427
  4. Step 4: Simplify right side
    22,201.96x = 533,417,466.36
  5. Step 5: Solve for x
    x = 533,417,466.36/22,201.96
  6. Step 6: Final answer
    x = 24,025.69

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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.