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Finding the Fourth Proportional to 12,920.13, 19,376.64 and 3,557.95

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Solution

The fourth proportional to 12,920.13, 19,376.64 and 3,557.95 is: 5,335.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.13 : 19,376.64 = 3,557.95 : x
  2. Step 2: Convert to fraction form
    12,920.13/19,376.64 = 3,557.95/x
  3. Step 3: Cross multiply
    12,920.13x = 19,376.64 × 3,557.95
  4. Step 4: Simplify right side
    12,920.13x = 68,941,067.85
  5. Step 5: Solve for x
    x = 68,941,067.85/12,920.13
  6. Step 6: Final answer
    x = 5,335.94

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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.