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Finding the Fourth Proportional to 24,713.84, 34,107.96 and 14,105

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Solution

The fourth proportional to 24,713.84, 34,107.96 and 14,105 is: 19,466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.84 : 34,107.96 = 14,105 : x
  2. Step 2: Convert to fraction form
    24,713.84/34,107.96 = 14,105/x
  3. Step 3: Cross multiply
    24,713.84x = 34,107.96 × 14,105
  4. Step 4: Simplify right side
    24,713.84x = 481,092,775.80
  5. Step 5: Solve for x
    x = 481,092,775.80/24,713.84
  6. Step 6: Final answer
    x = 19,466.53

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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.