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Finding the Fourth Proportional to 11,823.12, 16,310.88 and 8,673.84

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Solution

The fourth proportional to 11,823.12, 16,310.88 and 8,673.84 is: 11,966.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.12 : 16,310.88 = 8,673.84 : x
  2. Step 2: Convert to fraction form
    11,823.12/16,310.88 = 8,673.84/x
  3. Step 3: Cross multiply
    11,823.12x = 16,310.88 × 8,673.84
  4. Step 4: Simplify right side
    11,823.12x = 141,477,963.38
  5. Step 5: Solve for x
    x = 141,477,963.38/11,823.12
  6. Step 6: Final answer
    x = 11,966.21

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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.