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Finding the Fourth Proportional to 13,362.40, 20,000.40 and 10,424.80

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Solution

The fourth proportional to 13,362.40, 20,000.40 and 10,424.80 is: 15,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,362.40 : 20,000.40 = 10,424.80 : x
  2. Step 2: Convert to fraction form
    13,362.40/20,000.40 = 10,424.80/x
  3. Step 3: Cross multiply
    13,362.40x = 20,000.40 × 10,424.80
  4. Step 4: Simplify right side
    13,362.40x = 208,500,169.92
  5. Step 5: Solve for x
    x = 208,500,169.92/13,362.40
  6. Step 6: Final answer
    x = 15,603.50

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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.