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Finding the Fourth Proportional to 20,496.60, 30,744.84 and 6,457.80

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Solution

The fourth proportional to 20,496.60, 30,744.84 and 6,457.80 is: 9,686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,496.60 : 30,744.84 = 6,457.80 : x
  2. Step 2: Convert to fraction form
    20,496.60/30,744.84 = 6,457.80/x
  3. Step 3: Cross multiply
    20,496.60x = 30,744.84 × 6,457.80
  4. Step 4: Simplify right side
    20,496.60x = 198,544,027.75
  5. Step 5: Solve for x
    x = 198,544,027.75/20,496.60
  6. Step 6: Final answer
    x = 9,686.68

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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.