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Finding the Fourth Proportional to 13,424.76, 20,136.72 and 6,409.80

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Solution

The fourth proportional to 13,424.76, 20,136.72 and 6,409.80 is: 9,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.76 : 20,136.72 = 6,409.80 : x
  2. Step 2: Convert to fraction form
    13,424.76/20,136.72 = 6,409.80/x
  3. Step 3: Cross multiply
    13,424.76x = 20,136.72 × 6,409.80
  4. Step 4: Simplify right side
    13,424.76x = 129,072,347.86
  5. Step 5: Solve for x
    x = 129,072,347.86/13,424.76
  6. Step 6: Final answer
    x = 9,614.50

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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.