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Finding the Fourth Proportional to 24,358.43, 33,614.79 and 14,284.82

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Solution

The fourth proportional to 24,358.43, 33,614.79 and 14,284.82 is: 19,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,358.43 : 33,614.79 = 14,284.82 : x
  2. Step 2: Convert to fraction form
    24,358.43/33,614.79 = 14,284.82/x
  3. Step 3: Cross multiply
    24,358.43x = 33,614.79 × 14,284.82
  4. Step 4: Simplify right side
    24,358.43x = 480,181,224.49
  5. Step 5: Solve for x
    x = 480,181,224.49/24,358.43
  6. Step 6: Final answer
    x = 19,713.14

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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.