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Finding the Fourth Proportional to 17,446.52, 24,076.64 and 9,489.20

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Solution

The fourth proportional to 17,446.52, 24,076.64 and 9,489.20 is: 13,095.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,446.52 : 24,076.64 = 9,489.20 : x
  2. Step 2: Convert to fraction form
    17,446.52/24,076.64 = 9,489.20/x
  3. Step 3: Cross multiply
    17,446.52x = 24,076.64 × 9,489.20
  4. Step 4: Simplify right side
    17,446.52x = 228,468,052.29
  5. Step 5: Solve for x
    x = 228,468,052.29/17,446.52
  6. Step 6: Final answer
    x = 13,095.34

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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.