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Finding the Fourth Proportional to 24,273, 33,487.65 and 14,198.22

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Solution

The fourth proportional to 24,273, 33,487.65 and 14,198.22 is: 19,588.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,273 : 33,487.65 = 14,198.22 : x
  2. Step 2: Convert to fraction form
    24,273/33,487.65 = 14,198.22/x
  3. Step 3: Cross multiply
    24,273x = 33,487.65 × 14,198.22
  4. Step 4: Simplify right side
    24,273x = 475,465,021.98
  5. Step 5: Solve for x
    x = 475,465,021.98/24,273
  6. Step 6: Final answer
    x = 19,588.23

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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.