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Finding the Fourth Proportional to 13,737.61, 20,606.46 and 3,876.94

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Solution

The fourth proportional to 13,737.61, 20,606.46 and 3,876.94 is: 5,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.61 : 20,606.46 = 3,876.94 : x
  2. Step 2: Convert to fraction form
    13,737.61/20,606.46 = 3,876.94/x
  3. Step 3: Cross multiply
    13,737.61x = 20,606.46 × 3,876.94
  4. Step 4: Simplify right side
    13,737.61x = 79,890,009.03
  5. Step 5: Solve for x
    x = 79,890,009.03/13,737.61
  6. Step 6: Final answer
    x = 5,815.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.