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Finding the Fourth Proportional to 20,995.56, 28,973.84 and 11,564

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Solution

The fourth proportional to 20,995.56, 28,973.84 and 11,564 is: 15,958.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,995.56 : 28,973.84 = 11,564 : x
  2. Step 2: Convert to fraction form
    20,995.56/28,973.84 = 11,564/x
  3. Step 3: Cross multiply
    20,995.56x = 28,973.84 × 11,564
  4. Step 4: Simplify right side
    20,995.56x = 335,053,485.76
  5. Step 5: Solve for x
    x = 335,053,485.76/20,995.56
  6. Step 6: Final answer
    x = 15,958.30

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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.