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Finding the Fourth Proportional to 13,386.38, 20,076.72 and 8,449.42

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Solution

The fourth proportional to 13,386.38, 20,076.72 and 8,449.42 is: 12,672.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.38 : 20,076.72 = 8,449.42 : x
  2. Step 2: Convert to fraction form
    13,386.38/20,076.72 = 8,449.42/x
  3. Step 3: Cross multiply
    13,386.38x = 20,076.72 × 8,449.42
  4. Step 4: Simplify right side
    13,386.38x = 169,636,639.50
  5. Step 5: Solve for x
    x = 169,636,639.50/13,386.38
  6. Step 6: Final answer
    x = 12,672.33

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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.