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Finding the Fourth Proportional to 20,443.50, 30,670.11 and 6,592.50

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Solution

The fourth proportional to 20,443.50, 30,670.11 and 6,592.50 is: 9,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,443.50 : 30,670.11 = 6,592.50 : x
  2. Step 2: Convert to fraction form
    20,443.50/30,670.11 = 6,592.50/x
  3. Step 3: Cross multiply
    20,443.50x = 30,670.11 × 6,592.50
  4. Step 4: Simplify right side
    20,443.50x = 202,192,700.18
  5. Step 5: Solve for x
    x = 202,192,700.18/20,443.50
  6. Step 6: Final answer
    x = 9,890.32

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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.