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Finding the Fourth Proportional to 20,493.59, 28,291.82 and 13,814.33

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Solution

The fourth proportional to 20,493.59, 28,291.82 and 13,814.33 is: 19,070.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493.59 : 28,291.82 = 13,814.33 : x
  2. Step 2: Convert to fraction form
    20,493.59/28,291.82 = 13,814.33/x
  3. Step 3: Cross multiply
    20,493.59x = 28,291.82 × 13,814.33
  4. Step 4: Simplify right side
    20,493.59x = 390,832,327.25
  5. Step 5: Solve for x
    x = 390,832,327.25/20,493.59
  6. Step 6: Final answer
    x = 19,070.96

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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.