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Finding the Fourth Proportional to 20,125.64, 27,789.96 and 13,064.12

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Solution

The fourth proportional to 20,125.64, 27,789.96 and 13,064.12 is: 18,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,125.64 : 27,789.96 = 13,064.12 : x
  2. Step 2: Convert to fraction form
    20,125.64/27,789.96 = 13,064.12/x
  3. Step 3: Cross multiply
    20,125.64x = 27,789.96 × 13,064.12
  4. Step 4: Simplify right side
    20,125.64x = 363,051,372.24
  5. Step 5: Solve for x
    x = 363,051,372.24/20,125.64
  6. Step 6: Final answer
    x = 18,039.25

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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.