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Finding the Fourth Proportional to 20,965.64, 28,932.59 and 12,013.31

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Solution

The fourth proportional to 20,965.64, 28,932.59 and 12,013.31 is: 16,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965.64 : 28,932.59 = 12,013.31 : x
  2. Step 2: Convert to fraction form
    20,965.64/28,932.59 = 12,013.31/x
  3. Step 3: Cross multiply
    20,965.64x = 28,932.59 × 12,013.31
  4. Step 4: Simplify right side
    20,965.64x = 347,576,275.14
  5. Step 5: Solve for x
    x = 347,576,275.14/20,965.64
  6. Step 6: Final answer
    x = 16,578.38

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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.