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Finding the Fourth Proportional to 24,284.57, 33,515.10 and 14,212.41

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Solution

The fourth proportional to 24,284.57, 33,515.10 and 14,212.41 is: 19,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284.57 : 33,515.10 = 14,212.41 : x
  2. Step 2: Convert to fraction form
    24,284.57/33,515.10 = 14,212.41/x
  3. Step 3: Cross multiply
    24,284.57x = 33,515.10 × 14,212.41
  4. Step 4: Simplify right side
    24,284.57x = 476,330,174.82
  5. Step 5: Solve for x
    x = 476,330,174.82/24,284.57
  6. Step 6: Final answer
    x = 19,614.52

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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.