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Finding the Fourth Proportional to 17,489.70, 24,142.78 and 10,414.75

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Solution

The fourth proportional to 17,489.70, 24,142.78 and 10,414.75 is: 14,376.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,489.70 : 24,142.78 = 10,414.75 : x
  2. Step 2: Convert to fraction form
    17,489.70/24,142.78 = 10,414.75/x
  3. Step 3: Cross multiply
    17,489.70x = 24,142.78 × 10,414.75
  4. Step 4: Simplify right side
    17,489.70x = 251,441,018.01
  5. Step 5: Solve for x
    x = 251,441,018.01/17,489.70
  6. Step 6: Final answer
    x = 14,376.52

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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.