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Finding the Fourth Proportional to 14,331.84, 21,473.52 and 6,939.84

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Solution

The fourth proportional to 14,331.84, 21,473.52 and 6,939.84 is: 10,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,331.84 : 21,473.52 = 6,939.84 : x
  2. Step 2: Convert to fraction form
    14,331.84/21,473.52 = 6,939.84/x
  3. Step 3: Cross multiply
    14,331.84x = 21,473.52 × 6,939.84
  4. Step 4: Simplify right side
    14,331.84x = 149,022,793.04
  5. Step 5: Solve for x
    x = 149,022,793.04/14,331.84
  6. Step 6: Final answer
    x = 10,398.02

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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.