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Finding the Fourth Proportional to 17,596.80, 24,284.10 and 9,639.48

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Solution

The fourth proportional to 17,596.80, 24,284.10 and 9,639.48 is: 13,302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,596.80 : 24,284.10 = 9,639.48 : x
  2. Step 2: Convert to fraction form
    17,596.80/24,284.10 = 9,639.48/x
  3. Step 3: Cross multiply
    17,596.80x = 24,284.10 × 9,639.48
  4. Step 4: Simplify right side
    17,596.80x = 234,086,096.27
  5. Step 5: Solve for x
    x = 234,086,096.27/17,596.80
  6. Step 6: Final answer
    x = 13,302.77

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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.