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Finding the Fourth Proportional to 14,835.36, 20,472.18 and 8,120.82

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Solution

The fourth proportional to 14,835.36, 20,472.18 and 8,120.82 is: 11,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,835.36 : 20,472.18 = 8,120.82 : x
  2. Step 2: Convert to fraction form
    14,835.36/20,472.18 = 8,120.82/x
  3. Step 3: Cross multiply
    14,835.36x = 20,472.18 × 8,120.82
  4. Step 4: Simplify right side
    14,835.36x = 166,250,888.79
  5. Step 5: Solve for x
    x = 166,250,888.79/14,835.36
  6. Step 6: Final answer
    x = 11,206.39

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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.