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Finding the Fourth Proportional to 13,730.06, 20,596.30 and 3,869.44

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Solution

The fourth proportional to 13,730.06, 20,596.30 and 3,869.44 is: 5,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.06 : 20,596.30 = 3,869.44 : x
  2. Step 2: Convert to fraction form
    13,730.06/20,596.30 = 3,869.44/x
  3. Step 3: Cross multiply
    13,730.06x = 20,596.30 × 3,869.44
  4. Step 4: Simplify right side
    13,730.06x = 79,696,147.07
  5. Step 5: Solve for x
    x = 79,696,147.07/13,730.06
  6. Step 6: Final answer
    x = 5,804.50

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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.