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Finding the Fourth Proportional to 17,853.74, 24,648.07 and 12,196.94

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Solution

The fourth proportional to 17,853.74, 24,648.07 and 12,196.94 is: 16,838.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.74 : 24,648.07 = 12,196.94 : x
  2. Step 2: Convert to fraction form
    17,853.74/24,648.07 = 12,196.94/x
  3. Step 3: Cross multiply
    17,853.74x = 24,648.07 × 12,196.94
  4. Step 4: Simplify right side
    17,853.74x = 300,631,030.91
  5. Step 5: Solve for x
    x = 300,631,030.91/17,853.74
  6. Step 6: Final answer
    x = 16,838.55

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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.