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Finding the Fourth Proportional to 15,096.38, 20,830.06 and 8,635.11

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Solution

The fourth proportional to 15,096.38, 20,830.06 and 8,635.11 is: 11,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,096.38 : 20,830.06 = 8,635.11 : x
  2. Step 2: Convert to fraction form
    15,096.38/20,830.06 = 8,635.11/x
  3. Step 3: Cross multiply
    15,096.38x = 20,830.06 × 8,635.11
  4. Step 4: Simplify right side
    15,096.38x = 179,869,792.09
  5. Step 5: Solve for x
    x = 179,869,792.09/15,096.38
  6. Step 6: Final answer
    x = 11,914.77

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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.