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Finding the Fourth Proportional to 14,331.84, 19,777.44 and 8,363.68

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Solution

The fourth proportional to 14,331.84, 19,777.44 and 8,363.68 is: 11,541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,331.84 : 19,777.44 = 8,363.68 : x
  2. Step 2: Convert to fraction form
    14,331.84/19,777.44 = 8,363.68/x
  3. Step 3: Cross multiply
    14,331.84x = 19,777.44 × 8,363.68
  4. Step 4: Simplify right side
    14,331.84x = 165,412,179.38
  5. Step 5: Solve for x
    x = 165,412,179.38/14,331.84
  6. Step 6: Final answer
    x = 11,541.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.