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Finding the Fourth Proportional to 13,404.24, 20,033.64 and 12,353.76

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Solution

The fourth proportional to 13,404.24, 20,033.64 and 12,353.76 is: 18,463.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,404.24 : 20,033.64 = 12,353.76 : x
  2. Step 2: Convert to fraction form
    13,404.24/20,033.64 = 12,353.76/x
  3. Step 3: Cross multiply
    13,404.24x = 20,033.64 × 12,353.76
  4. Step 4: Simplify right side
    13,404.24x = 247,490,780.49
  5. Step 5: Solve for x
    x = 247,490,780.49/13,404.24
  6. Step 6: Final answer
    x = 18,463.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.