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Finding the Fourth Proportional to 14,957.70, 20,641.53 and 8,243.38

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Solution

The fourth proportional to 14,957.70, 20,641.53 and 8,243.38 is: 11,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,957.70 : 20,641.53 = 8,243.38 : x
  2. Step 2: Convert to fraction form
    14,957.70/20,641.53 = 8,243.38/x
  3. Step 3: Cross multiply
    14,957.70x = 20,641.53 × 8,243.38
  4. Step 4: Simplify right side
    14,957.70x = 170,155,975.57
  5. Step 5: Solve for x
    x = 170,155,975.57/14,957.70
  6. Step 6: Final answer
    x = 11,375.81

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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.