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Finding the Fourth Proportional to 17,674.97, 24,390.02 and 10,405.91

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Solution

The fourth proportional to 17,674.97, 24,390.02 and 10,405.91 is: 14,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.97 : 24,390.02 = 10,405.91 : x
  2. Step 2: Convert to fraction form
    17,674.97/24,390.02 = 10,405.91/x
  3. Step 3: Cross multiply
    17,674.97x = 24,390.02 × 10,405.91
  4. Step 4: Simplify right side
    17,674.97x = 253,800,179.04
  5. Step 5: Solve for x
    x = 253,800,179.04/17,674.97
  6. Step 6: Final answer
    x = 14,359.30

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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.