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Finding the Fourth Proportional to 17,634.30, 24,305.02 and 16,803.84

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Solution

The fourth proportional to 17,634.30, 24,305.02 and 16,803.84 is: 23,160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.30 : 24,305.02 = 16,803.84 : x
  2. Step 2: Convert to fraction form
    17,634.30/24,305.02 = 16,803.84/x
  3. Step 3: Cross multiply
    17,634.30x = 24,305.02 × 16,803.84
  4. Step 4: Simplify right side
    17,634.30x = 408,417,667.28
  5. Step 5: Solve for x
    x = 408,417,667.28/17,634.30
  6. Step 6: Final answer
    x = 23,160.41

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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.