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Finding the Fourth Proportional to 11,915.10, 16,484.94 and 11,705.58

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Solution

The fourth proportional to 11,915.10, 16,484.94 and 11,705.58 is: 16,195.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.10 : 16,484.94 = 11,705.58 : x
  2. Step 2: Convert to fraction form
    11,915.10/16,484.94 = 11,705.58/x
  3. Step 3: Cross multiply
    11,915.10x = 16,484.94 × 11,705.58
  4. Step 4: Simplify right side
    11,915.10x = 192,965,783.97
  5. Step 5: Solve for x
    x = 192,965,783.97/11,915.10
  6. Step 6: Final answer
    x = 16,195.06

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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.