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Finding the Fourth Proportional to 13,721.80, 20,601.90 and 8,537.80

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Solution

The fourth proportional to 13,721.80, 20,601.90 and 8,537.80 is: 12,818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,721.80 : 20,601.90 = 8,537.80 : x
  2. Step 2: Convert to fraction form
    13,721.80/20,601.90 = 8,537.80/x
  3. Step 3: Cross multiply
    13,721.80x = 20,601.90 × 8,537.80
  4. Step 4: Simplify right side
    13,721.80x = 175,894,901.82
  5. Step 5: Solve for x
    x = 175,894,901.82/13,721.80
  6. Step 6: Final answer
    x = 12,818.65

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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.