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Finding the Fourth Proportional to 27,734.80, 41,578.80 and 12,935.92

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Solution

The fourth proportional to 27,734.80, 41,578.80 and 12,935.92 is: 19,392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,734.80 : 41,578.80 = 12,935.92 : x
  2. Step 2: Convert to fraction form
    27,734.80/41,578.80 = 12,935.92/x
  3. Step 3: Cross multiply
    27,734.80x = 41,578.80 × 12,935.92
  4. Step 4: Simplify right side
    27,734.80x = 537,860,030.50
  5. Step 5: Solve for x
    x = 537,860,030.50/27,734.80
  6. Step 6: Final answer
    x = 19,392.97

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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.