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Finding the Fourth Proportional to 20,448.24, 30,698.64 and 15,771.24

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Solution

The fourth proportional to 20,448.24, 30,698.64 and 15,771.24 is: 23,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448.24 : 30,698.64 = 15,771.24 : x
  2. Step 2: Convert to fraction form
    20,448.24/30,698.64 = 15,771.24/x
  3. Step 3: Cross multiply
    20,448.24x = 30,698.64 × 15,771.24
  4. Step 4: Simplify right side
    20,448.24x = 484,155,619.11
  5. Step 5: Solve for x
    x = 484,155,619.11/20,448.24
  6. Step 6: Final answer
    x = 23,677.13

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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.