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Finding the Fourth Proportional to 24,363, 33,620.99 and 13,185

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Solution

The fourth proportional to 24,363, 33,620.99 and 13,185 is: 18,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,363 : 33,620.99 = 13,185 : x
  2. Step 2: Convert to fraction form
    24,363/33,620.99 = 13,185/x
  3. Step 3: Cross multiply
    24,363x = 33,620.99 × 13,185
  4. Step 4: Simplify right side
    24,363x = 443,292,687.23
  5. Step 5: Solve for x
    x = 443,292,687.23/24,363
  6. Step 6: Final answer
    x = 18,195.32

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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.