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Finding the Fourth Proportional to 20,976.64, 31,465.26 and 5,394.28

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Solution

The fourth proportional to 20,976.64, 31,465.26 and 5,394.28 is: 8,091.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,976.64 : 31,465.26 = 5,394.28 : x
  2. Step 2: Convert to fraction form
    20,976.64/31,465.26 = 5,394.28/x
  3. Step 3: Cross multiply
    20,976.64x = 31,465.26 × 5,394.28
  4. Step 4: Simplify right side
    20,976.64x = 169,732,422.71
  5. Step 5: Solve for x
    x = 169,732,422.71/20,976.64
  6. Step 6: Final answer
    x = 8,091.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.