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Finding the Fourth Proportional to 17,698.40, 24,423.92 and 9,740.42

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Solution

The fourth proportional to 17,698.40, 24,423.92 and 9,740.42 is: 13,441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,698.40 : 24,423.92 = 9,740.42 : x
  2. Step 2: Convert to fraction form
    17,698.40/24,423.92 = 9,740.42/x
  3. Step 3: Cross multiply
    17,698.40x = 24,423.92 × 9,740.42
  4. Step 4: Simplify right side
    17,698.40x = 237,899,238.85
  5. Step 5: Solve for x
    x = 237,899,238.85/17,698.40
  6. Step 6: Final answer
    x = 13,441.85

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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.