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Finding the Fourth Proportional to 11,639.16, 17,429.94 and 10,900.98

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Solution

The fourth proportional to 11,639.16, 17,429.94 and 10,900.98 is: 16,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639.16 : 17,429.94 = 10,900.98 : x
  2. Step 2: Convert to fraction form
    11,639.16/17,429.94 = 10,900.98/x
  3. Step 3: Cross multiply
    11,639.16x = 17,429.94 × 10,900.98
  4. Step 4: Simplify right side
    11,639.16x = 190,003,427.34
  5. Step 5: Solve for x
    x = 190,003,427.34/11,639.16
  6. Step 6: Final answer
    x = 16,324.50

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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.