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Finding the Fourth Proportional to 20,584.99, 28,407 and 11,632.33

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Solution

The fourth proportional to 20,584.99, 28,407 and 11,632.33 is: 16,052.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584.99 : 28,407 = 11,632.33 : x
  2. Step 2: Convert to fraction form
    20,584.99/28,407 = 11,632.33/x
  3. Step 3: Cross multiply
    20,584.99x = 28,407 × 11,632.33
  4. Step 4: Simplify right side
    20,584.99x = 330,439,598.31
  5. Step 5: Solve for x
    x = 330,439,598.31/20,584.99
  6. Step 6: Final answer
    x = 16,052.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.