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Finding the Fourth Proportional to 24,713.82, 34,107.53 and 14,105.06

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Solution

The fourth proportional to 24,713.82, 34,107.53 and 14,105.06 is: 19,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.82 : 34,107.53 = 14,105.06 : x
  2. Step 2: Convert to fraction form
    24,713.82/34,107.53 = 14,105.06/x
  3. Step 3: Cross multiply
    24,713.82x = 34,107.53 × 14,105.06
  4. Step 4: Simplify right side
    24,713.82x = 481,088,516.04
  5. Step 5: Solve for x
    x = 481,088,516.04/24,713.82
  6. Step 6: Final answer
    x = 19,466.38

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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.