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Finding the Fourth Proportional to 20,189.58, 30,278.01 and 7,709.10

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Solution

The fourth proportional to 20,189.58, 30,278.01 and 7,709.10 is: 11,561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189.58 : 30,278.01 = 7,709.10 : x
  2. Step 2: Convert to fraction form
    20,189.58/30,278.01 = 7,709.10/x
  3. Step 3: Cross multiply
    20,189.58x = 30,278.01 × 7,709.10
  4. Step 4: Simplify right side
    20,189.58x = 233,416,206.89
  5. Step 5: Solve for x
    x = 233,416,206.89/20,189.58
  6. Step 6: Final answer
    x = 11,561.22

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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.