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Finding the Fourth Proportional to 17,730.84, 24,468.22 and 9,664.57

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Solution

The fourth proportional to 17,730.84, 24,468.22 and 9,664.57 is: 13,336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,730.84 : 24,468.22 = 9,664.57 : x
  2. Step 2: Convert to fraction form
    17,730.84/24,468.22 = 9,664.57/x
  3. Step 3: Cross multiply
    17,730.84x = 24,468.22 × 9,664.57
  4. Step 4: Simplify right side
    17,730.84x = 236,474,723.20
  5. Step 5: Solve for x
    x = 236,474,723.20/17,730.84
  6. Step 6: Final answer
    x = 13,336.92

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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.