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Finding the Fourth Proportional to 20,477.72, 30,716.58 and 5,686.64

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Solution

The fourth proportional to 20,477.72, 30,716.58 and 5,686.64 is: 8,529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.72 : 30,716.58 = 5,686.64 : x
  2. Step 2: Convert to fraction form
    20,477.72/30,716.58 = 5,686.64/x
  3. Step 3: Cross multiply
    20,477.72x = 30,716.58 × 5,686.64
  4. Step 4: Simplify right side
    20,477.72x = 174,674,132.49
  5. Step 5: Solve for x
    x = 174,674,132.49/20,477.72
  6. Step 6: Final answer
    x = 8,529.96

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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.