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Finding the Fourth Proportional to 20,584.90, 28,412.59 and 14,212.54

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Solution

The fourth proportional to 20,584.90, 28,412.59 and 14,212.54 is: 19,617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584.90 : 28,412.59 = 14,212.54 : x
  2. Step 2: Convert to fraction form
    20,584.90/28,412.59 = 14,212.54/x
  3. Step 3: Cross multiply
    20,584.90x = 28,412.59 × 14,212.54
  4. Step 4: Simplify right side
    20,584.90x = 403,815,071.88
  5. Step 5: Solve for x
    x = 403,815,071.88/20,584.90
  6. Step 6: Final answer
    x = 19,617.05

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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.