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Finding the Fourth Proportional to 17,652.38, 24,362.44 and 10,200.38

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Solution

The fourth proportional to 17,652.38, 24,362.44 and 10,200.38 is: 14,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,652.38 : 24,362.44 = 10,200.38 : x
  2. Step 2: Convert to fraction form
    17,652.38/24,362.44 = 10,200.38/x
  3. Step 3: Cross multiply
    17,652.38x = 24,362.44 × 10,200.38
  4. Step 4: Simplify right side
    17,652.38x = 248,505,998.41
  5. Step 5: Solve for x
    x = 248,505,998.41/17,652.38
  6. Step 6: Final answer
    x = 14,077.77

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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.