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Finding the Fourth Proportional to 17,683.84, 24,391.15 and 12,234.97

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Solution

The fourth proportional to 17,683.84, 24,391.15 and 12,234.97 is: 16,875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.84 : 24,391.15 = 12,234.97 : x
  2. Step 2: Convert to fraction form
    17,683.84/24,391.15 = 12,234.97/x
  3. Step 3: Cross multiply
    17,683.84x = 24,391.15 × 12,234.97
  4. Step 4: Simplify right side
    17,683.84x = 298,424,988.52
  5. Step 5: Solve for x
    x = 298,424,988.52/17,683.84
  6. Step 6: Final answer
    x = 16,875.58

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1.5x scale

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.