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Finding the Fourth Proportional to 20,537.32, 30,809.79 and 6,500.89

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Solution

The fourth proportional to 20,537.32, 30,809.79 and 6,500.89 is: 9,752.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.32 : 30,809.79 = 6,500.89 : x
  2. Step 2: Convert to fraction form
    20,537.32/30,809.79 = 6,500.89/x
  3. Step 3: Cross multiply
    20,537.32x = 30,809.79 × 6,500.89
  4. Step 4: Simplify right side
    20,537.32x = 200,291,055.71
  5. Step 5: Solve for x
    x = 200,291,055.71/20,537.32
  6. Step 6: Final answer
    x = 9,752.54

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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.