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Finding the Fourth Proportional to 14,478.30, 21,727.82 and 6,164.15

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Solution

The fourth proportional to 14,478.30, 21,727.82 and 6,164.15 is: 9,250.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.30 : 21,727.82 = 6,164.15 : x
  2. Step 2: Convert to fraction form
    14,478.30/21,727.82 = 6,164.15/x
  3. Step 3: Cross multiply
    14,478.30x = 21,727.82 × 6,164.15
  4. Step 4: Simplify right side
    14,478.30x = 133,933,448.42
  5. Step 5: Solve for x
    x = 133,933,448.42/14,478.30
  6. Step 6: Final answer
    x = 9,250.63

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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.