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Finding the Fourth Proportional to 13,913.52, 20,842.46 and 8,363.82

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Solution

The fourth proportional to 13,913.52, 20,842.46 and 8,363.82 is: 12,529.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.52 : 20,842.46 = 8,363.82 : x
  2. Step 2: Convert to fraction form
    13,913.52/20,842.46 = 8,363.82/x
  3. Step 3: Cross multiply
    13,913.52x = 20,842.46 × 8,363.82
  4. Step 4: Simplify right side
    13,913.52x = 174,322,541.98
  5. Step 5: Solve for x
    x = 174,322,541.98/13,913.52
  6. Step 6: Final answer
    x = 12,529.00

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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.