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Finding the Fourth Proportional to 24,694.56, 34,076.56 and 14,083.52

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Solution

The fourth proportional to 24,694.56, 34,076.56 and 14,083.52 is: 19,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,694.56 : 34,076.56 = 14,083.52 : x
  2. Step 2: Convert to fraction form
    24,694.56/34,076.56 = 14,083.52/x
  3. Step 3: Cross multiply
    24,694.56x = 34,076.56 × 14,083.52
  4. Step 4: Simplify right side
    24,694.56x = 479,917,914.29
  5. Step 5: Solve for x
    x = 479,917,914.29/24,694.56
  6. Step 6: Final answer
    x = 19,434.16

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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.