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Finding the Fourth Proportional to 16,956, 23,399.28 and 10,332

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Solution

The fourth proportional to 16,956, 23,399.28 and 10,332 is: 14,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,956 : 23,399.28 = 10,332 : x
  2. Step 2: Convert to fraction form
    16,956/23,399.28 = 10,332/x
  3. Step 3: Cross multiply
    16,956x = 23,399.28 × 10,332
  4. Step 4: Simplify right side
    16,956x = 241,761,360.96
  5. Step 5: Solve for x
    x = 241,761,360.96/16,956
  6. Step 6: Final answer
    x = 14,258.16

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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.