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Finding the Fourth Proportional to 24,181.38, 33,368.94 and 14,623.38

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Solution

The fourth proportional to 24,181.38, 33,368.94 and 14,623.38 is: 20,179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,181.38 : 33,368.94 = 14,623.38 : x
  2. Step 2: Convert to fraction form
    24,181.38/33,368.94 = 14,623.38/x
  3. Step 3: Cross multiply
    24,181.38x = 33,368.94 × 14,623.38
  4. Step 4: Simplify right side
    24,181.38x = 487,966,689.82
  5. Step 5: Solve for x
    x = 487,966,689.82/24,181.38
  6. Step 6: Final answer
    x = 20,179.44

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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.