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Finding the Fourth Proportional to 17,684.82, 24,405.08 and 9,727.20

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Solution

The fourth proportional to 17,684.82, 24,405.08 and 9,727.20 is: 13,423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.82 : 24,405.08 = 9,727.20 : x
  2. Step 2: Convert to fraction form
    17,684.82/24,405.08 = 9,727.20/x
  3. Step 3: Cross multiply
    17,684.82x = 24,405.08 × 9,727.20
  4. Step 4: Simplify right side
    17,684.82x = 237,393,045.54
  5. Step 5: Solve for x
    x = 237,393,045.54/17,684.82
  6. Step 6: Final answer
    x = 13,423.55

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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.