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Finding the Fourth Proportional to 20,111.64, 27,770.64 and 13,050.12

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Solution

The fourth proportional to 20,111.64, 27,770.64 and 13,050.12 is: 18,019.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,111.64 : 27,770.64 = 13,050.12 : x
  2. Step 2: Convert to fraction form
    20,111.64/27,770.64 = 13,050.12/x
  3. Step 3: Cross multiply
    20,111.64x = 27,770.64 × 13,050.12
  4. Step 4: Simplify right side
    20,111.64x = 362,410,184.48
  5. Step 5: Solve for x
    x = 362,410,184.48/20,111.64
  6. Step 6: Final answer
    x = 18,019.92

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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.