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Finding the Fourth Proportional to 20,512.32, 28,311.84 and 13,056

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Solution

The fourth proportional to 20,512.32, 28,311.84 and 13,056 is: 18,020.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.32 : 28,311.84 = 13,056 : x
  2. Step 2: Convert to fraction form
    20,512.32/28,311.84 = 13,056/x
  3. Step 3: Cross multiply
    20,512.32x = 28,311.84 × 13,056
  4. Step 4: Simplify right side
    20,512.32x = 369,639,383.04
  5. Step 5: Solve for x
    x = 369,639,383.04/20,512.32
  6. Step 6: Final answer
    x = 18,020.36

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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.