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Finding the Fourth Proportional to 15,184.29, 20,954.19 and 8,378.38

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Solution

The fourth proportional to 15,184.29, 20,954.19 and 8,378.38 is: 11,562.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,184.29 : 20,954.19 = 8,378.38 : x
  2. Step 2: Convert to fraction form
    15,184.29/20,954.19 = 8,378.38/x
  3. Step 3: Cross multiply
    15,184.29x = 20,954.19 × 8,378.38
  4. Step 4: Simplify right side
    15,184.29x = 175,562,166.41
  5. Step 5: Solve for x
    x = 175,562,166.41/15,184.29
  6. Step 6: Final answer
    x = 11,562.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.