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Finding the Fourth Proportional to 14,464.73, 21,669.07 and 8,205.81

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Solution

The fourth proportional to 14,464.73, 21,669.07 and 8,205.81 is: 12,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.73 : 21,669.07 = 8,205.81 : x
  2. Step 2: Convert to fraction form
    14,464.73/21,669.07 = 8,205.81/x
  3. Step 3: Cross multiply
    14,464.73x = 21,669.07 × 8,205.81
  4. Step 4: Simplify right side
    14,464.73x = 177,812,184.91
  5. Step 5: Solve for x
    x = 177,812,184.91/14,464.73
  6. Step 6: Final answer
    x = 12,292.81

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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.