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Finding the Fourth Proportional to 20,477.48, 30,716.23 and 5,686.40

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Solution

The fourth proportional to 20,477.48, 30,716.23 and 5,686.40 is: 8,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.48 : 30,716.23 = 5,686.40 : x
  2. Step 2: Convert to fraction form
    20,477.48/30,716.23 = 5,686.40/x
  3. Step 3: Cross multiply
    20,477.48x = 30,716.23 × 5,686.40
  4. Step 4: Simplify right side
    20,477.48x = 174,664,725.92
  5. Step 5: Solve for x
    x = 174,664,725.92/20,477.48
  6. Step 6: Final answer
    x = 8,529.60

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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.