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Finding the Fourth Proportional to 11,096.50, 16,599.14 and 10,123.26

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Solution

The fourth proportional to 11,096.50, 16,599.14 and 10,123.26 is: 15,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096.50 : 16,599.14 = 10,123.26 : x
  2. Step 2: Convert to fraction form
    11,096.50/16,599.14 = 10,123.26/x
  3. Step 3: Cross multiply
    11,096.50x = 16,599.14 × 10,123.26
  4. Step 4: Simplify right side
    11,096.50x = 168,037,410.00
  5. Step 5: Solve for x
    x = 168,037,410.00/11,096.50
  6. Step 6: Final answer
    x = 15,143.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.