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Finding the Fourth Proportional to 20,038.12, 27,655.90 and 11,659.48

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Solution

The fourth proportional to 20,038.12, 27,655.90 and 11,659.48 is: 16,092.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.12 : 27,655.90 = 11,659.48 : x
  2. Step 2: Convert to fraction form
    20,038.12/27,655.90 = 11,659.48/x
  3. Step 3: Cross multiply
    20,038.12x = 27,655.90 × 11,659.48
  4. Step 4: Simplify right side
    20,038.12x = 322,453,412.93
  5. Step 5: Solve for x
    x = 322,453,412.93/20,038.12
  6. Step 6: Final answer
    x = 16,092.00

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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.