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Finding the Fourth Proportional to 24,429.78, 33,713.46 and 14,358.42

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Solution

The fourth proportional to 24,429.78, 33,713.46 and 14,358.42 is: 19,814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,429.78 : 33,713.46 = 14,358.42 : x
  2. Step 2: Convert to fraction form
    24,429.78/33,713.46 = 14,358.42/x
  3. Step 3: Cross multiply
    24,429.78x = 33,713.46 × 14,358.42
  4. Step 4: Simplify right side
    24,429.78x = 484,072,018.33
  5. Step 5: Solve for x
    x = 484,072,018.33/24,429.78
  6. Step 6: Final answer
    x = 19,814.83

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