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Finding the Fourth Proportional to 17,321.64, 23,901.71 and 9,663.11

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Solution

The fourth proportional to 17,321.64, 23,901.71 and 9,663.11 is: 13,333.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,321.64 : 23,901.71 = 9,663.11 : x
  2. Step 2: Convert to fraction form
    17,321.64/23,901.71 = 9,663.11/x
  3. Step 3: Cross multiply
    17,321.64x = 23,901.71 × 9,663.11
  4. Step 4: Simplify right side
    17,321.64x = 230,964,685.09
  5. Step 5: Solve for x
    x = 230,964,685.09/17,321.64
  6. Step 6: Final answer
    x = 13,333.88

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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.