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Finding the Fourth Proportional to 20,104.08, 27,758.01 and 13,405.50

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Solution

The fourth proportional to 20,104.08, 27,758.01 and 13,405.50 is: 18,509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,104.08 : 27,758.01 = 13,405.50 : x
  2. Step 2: Convert to fraction form
    20,104.08/27,758.01 = 13,405.50/x
  3. Step 3: Cross multiply
    20,104.08x = 27,758.01 × 13,405.50
  4. Step 4: Simplify right side
    20,104.08x = 372,110,003.06
  5. Step 5: Solve for x
    x = 372,110,003.06/20,104.08
  6. Step 6: Final answer
    x = 18,509.18

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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.