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Finding the Fourth Proportional to 20,188.69, 27,866.68 and 13,812.88

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Solution

The fourth proportional to 20,188.69, 27,866.68 and 13,812.88 is: 19,066.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188.69 : 27,866.68 = 13,812.88 : x
  2. Step 2: Convert to fraction form
    20,188.69/27,866.68 = 13,812.88/x
  3. Step 3: Cross multiply
    20,188.69x = 27,866.68 × 13,812.88
  4. Step 4: Simplify right side
    20,188.69x = 384,919,132.59
  5. Step 5: Solve for x
    x = 384,919,132.59/20,188.69
  6. Step 6: Final answer
    x = 19,066.07

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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.