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Finding the Fourth Proportional to 21,293.56, 31,930.74 and 6,504.28

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Solution

The fourth proportional to 21,293.56, 31,930.74 and 6,504.28 is: 9,753.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,293.56 : 31,930.74 = 6,504.28 : x
  2. Step 2: Convert to fraction form
    21,293.56/31,930.74 = 6,504.28/x
  3. Step 3: Cross multiply
    21,293.56x = 31,930.74 × 6,504.28
  4. Step 4: Simplify right side
    21,293.56x = 207,686,473.57
  5. Step 5: Solve for x
    x = 207,686,473.57/21,293.56
  6. Step 6: Final answer
    x = 9,753.49

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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.