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Finding the Fourth Proportional to 20,548.53, 30,823 and 6,508.29

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Solution

The fourth proportional to 20,548.53, 30,823 and 6,508.29 is: 9,762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,548.53 : 30,823 = 6,508.29 : x
  2. Step 2: Convert to fraction form
    20,548.53/30,823 = 6,508.29/x
  3. Step 3: Cross multiply
    20,548.53x = 30,823 × 6,508.29
  4. Step 4: Simplify right side
    20,548.53x = 200,605,022.67
  5. Step 5: Solve for x
    x = 200,605,022.67/20,548.53
  6. Step 6: Final answer
    x = 9,762.50

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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.