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Finding the Fourth Proportional to 20,209.69, 27,889.40 and 11,713.46

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Solution

The fourth proportional to 20,209.69, 27,889.40 and 11,713.46 is: 16,164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209.69 : 27,889.40 = 11,713.46 : x
  2. Step 2: Convert to fraction form
    20,209.69/27,889.40 = 11,713.46/x
  3. Step 3: Cross multiply
    20,209.69x = 27,889.40 × 11,713.46
  4. Step 4: Simplify right side
    20,209.69x = 326,681,312.76
  5. Step 5: Solve for x
    x = 326,681,312.76/20,209.69
  6. Step 6: Final answer
    x = 16,164.59

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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.