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Finding the Fourth Proportional to 12,077.63, 18,121.67 and 6,534.88

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Solution

The fourth proportional to 12,077.63, 18,121.67 and 6,534.88 is: 9,805.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.63 : 18,121.67 = 6,534.88 : x
  2. Step 2: Convert to fraction form
    12,077.63/18,121.67 = 6,534.88/x
  3. Step 3: Cross multiply
    12,077.63x = 18,121.67 × 6,534.88
  4. Step 4: Simplify right side
    12,077.63x = 118,422,928.83
  5. Step 5: Solve for x
    x = 118,422,928.83/12,077.63
  6. Step 6: Final answer
    x = 9,805.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.