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Finding the Fourth Proportional to 20,126.92, 27,779.09 and 12,854.34

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Solution

The fourth proportional to 20,126.92, 27,779.09 and 12,854.34 is: 17,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,126.92 : 27,779.09 = 12,854.34 : x
  2. Step 2: Convert to fraction form
    20,126.92/27,779.09 = 12,854.34/x
  3. Step 3: Cross multiply
    20,126.92x = 27,779.09 × 12,854.34
  4. Step 4: Simplify right side
    20,126.92x = 357,081,867.75
  5. Step 5: Solve for x
    x = 357,081,867.75/20,126.92
  6. Step 6: Final answer
    x = 17,741.51

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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.