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Finding the Fourth Proportional to 12,305.52, 18,454.23 and 6,765.12

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Solution

The fourth proportional to 12,305.52, 18,454.23 and 6,765.12 is: 10,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.52 : 18,454.23 = 6,765.12 : x
  2. Step 2: Convert to fraction form
    12,305.52/18,454.23 = 6,765.12/x
  3. Step 3: Cross multiply
    12,305.52x = 18,454.23 × 6,765.12
  4. Step 4: Simplify right side
    12,305.52x = 124,845,080.46
  5. Step 5: Solve for x
    x = 124,845,080.46/12,305.52
  6. Step 6: Final answer
    x = 10,145.45

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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.