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Finding the Fourth Proportional to 12,754.56, 19,129.08 and 9,046.44

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Solution

The fourth proportional to 12,754.56, 19,129.08 and 9,046.44 is: 13,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.56 : 19,129.08 = 9,046.44 : x
  2. Step 2: Convert to fraction form
    12,754.56/19,129.08 = 9,046.44/x
  3. Step 3: Cross multiply
    12,754.56x = 19,129.08 × 9,046.44
  4. Step 4: Simplify right side
    12,754.56x = 173,050,074.48
  5. Step 5: Solve for x
    x = 173,050,074.48/12,754.56
  6. Step 6: Final answer
    x = 13,567.70

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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.