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Finding the Fourth Proportional to 14,462.25, 21,678.60 and 8,209.05

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Solution

The fourth proportional to 14,462.25, 21,678.60 and 8,209.05 is: 12,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.25 : 21,678.60 = 8,209.05 : x
  2. Step 2: Convert to fraction form
    14,462.25/21,678.60 = 8,209.05/x
  3. Step 3: Cross multiply
    14,462.25x = 21,678.60 × 8,209.05
  4. Step 4: Simplify right side
    14,462.25x = 177,960,711.33
  5. Step 5: Solve for x
    x = 177,960,711.33/14,462.25
  6. Step 6: Final answer
    x = 12,305.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.