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Finding the Fourth Proportional to 20,537.34, 30,809.80 and 6,500.90

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Solution

The fourth proportional to 20,537.34, 30,809.80 and 6,500.90 is: 9,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.34 : 30,809.80 = 6,500.90 : x
  2. Step 2: Convert to fraction form
    20,537.34/30,809.80 = 6,500.90/x
  3. Step 3: Cross multiply
    20,537.34x = 30,809.80 × 6,500.90
  4. Step 4: Simplify right side
    20,537.34x = 200,291,428.82
  5. Step 5: Solve for x
    x = 200,291,428.82/20,537.34
  6. Step 6: Final answer
    x = 9,752.55

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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.