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Finding the Fourth Proportional to 24,792.38, 34,212.88 and 14,181.38

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Solution

The fourth proportional to 24,792.38, 34,212.88 and 14,181.38 is: 19,569.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,792.38 : 34,212.88 = 14,181.38 : x
  2. Step 2: Convert to fraction form
    24,792.38/34,212.88 = 14,181.38/x
  3. Step 3: Cross multiply
    24,792.38x = 34,212.88 × 14,181.38
  4. Step 4: Simplify right side
    24,792.38x = 485,185,827.14
  5. Step 5: Solve for x
    x = 485,185,827.14/24,792.38
  6. Step 6: Final answer
    x = 19,569.96

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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.