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Finding the Fourth Proportional to 20,351.08, 30,527.82 and 6,499

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Solution

The fourth proportional to 20,351.08, 30,527.82 and 6,499 is: 9,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,351.08 : 30,527.82 = 6,499 : x
  2. Step 2: Convert to fraction form
    20,351.08/30,527.82 = 6,499/x
  3. Step 3: Cross multiply
    20,351.08x = 30,527.82 × 6,499
  4. Step 4: Simplify right side
    20,351.08x = 198,400,302.18
  5. Step 5: Solve for x
    x = 198,400,302.18/20,351.08
  6. Step 6: Final answer
    x = 9,748.88

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