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Finding the Fourth Proportional to 12,901.73, 19,344.87 and 4,465.46

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Solution

The fourth proportional to 12,901.73, 19,344.87 and 4,465.46 is: 6,695.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.73 : 19,344.87 = 4,465.46 : x
  2. Step 2: Convert to fraction form
    12,901.73/19,344.87 = 4,465.46/x
  3. Step 3: Cross multiply
    12,901.73x = 19,344.87 × 4,465.46
  4. Step 4: Simplify right side
    12,901.73x = 86,383,791.55
  5. Step 5: Solve for x
    x = 86,383,791.55/12,901.73
  6. Step 6: Final answer
    x = 6,695.52

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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.