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Finding the Fourth Proportional to 20,208.96, 27,885.78 and 11,711.00

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Solution

The fourth proportional to 20,208.96, 27,885.78 and 11,711.00 is: 16,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,208.96 : 27,885.78 = 11,711.00 : x
  2. Step 2: Convert to fraction form
    20,208.96/27,885.78 = 11,711.00/x
  3. Step 3: Cross multiply
    20,208.96x = 27,885.78 × 11,711.00
  4. Step 4: Simplify right side
    20,208.96x = 326,570,439.29
  5. Step 5: Solve for x
    x = 326,570,439.29/20,208.96
  6. Step 6: Final answer
    x = 16,159.69

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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.