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Finding the Fourth Proportional to 20,130.75, 27,779.90 and 11,178.02

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Solution

The fourth proportional to 20,130.75, 27,779.90 and 11,178.02 is: 15,425.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130.75 : 27,779.90 = 11,178.02 : x
  2. Step 2: Convert to fraction form
    20,130.75/27,779.90 = 11,178.02/x
  3. Step 3: Cross multiply
    20,130.75x = 27,779.90 × 11,178.02
  4. Step 4: Simplify right side
    20,130.75x = 310,524,221.91
  5. Step 5: Solve for x
    x = 310,524,221.91/20,130.75
  6. Step 6: Final answer
    x = 15,425.37

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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.