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Finding the Fourth Proportional to 20,529.56, 30,808.92 and 9,448.76

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Solution

The fourth proportional to 20,529.56, 30,808.92 and 9,448.76 is: 14,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,529.56 : 30,808.92 = 9,448.76 : x
  2. Step 2: Convert to fraction form
    20,529.56/30,808.92 = 9,448.76/x
  3. Step 3: Cross multiply
    20,529.56x = 30,808.92 × 9,448.76
  4. Step 4: Simplify right side
    20,529.56x = 291,106,090.94
  5. Step 5: Solve for x
    x = 291,106,090.94/20,529.56
  6. Step 6: Final answer
    x = 14,179.85

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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.