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Finding the Fourth Proportional to 20,507.93, 30,763.59 and 5,716.99

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Solution

The fourth proportional to 20,507.93, 30,763.59 and 5,716.99 is: 8,575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.93 : 30,763.59 = 5,716.99 : x
  2. Step 2: Convert to fraction form
    20,507.93/30,763.59 = 5,716.99/x
  3. Step 3: Cross multiply
    20,507.93x = 30,763.59 × 5,716.99
  4. Step 4: Simplify right side
    20,507.93x = 175,875,136.39
  5. Step 5: Solve for x
    x = 175,875,136.39/20,507.93
  6. Step 6: Final answer
    x = 8,575.96

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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.