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Finding the Fourth Proportional to 14,533.29, 21,808.31 and 8,213.18

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Solution

The fourth proportional to 14,533.29, 21,808.31 and 8,213.18 is: 12,324.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533.29 : 21,808.31 = 8,213.18 : x
  2. Step 2: Convert to fraction form
    14,533.29/21,808.31 = 8,213.18/x
  3. Step 3: Cross multiply
    14,533.29x = 21,808.31 × 8,213.18
  4. Step 4: Simplify right side
    14,533.29x = 179,115,425.42
  5. Step 5: Solve for x
    x = 179,115,425.42/14,533.29
  6. Step 6: Final answer
    x = 12,324.49

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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.