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Finding the Fourth Proportional to 13,858.50, 20,790.49 and 7,087.01

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Solution

The fourth proportional to 13,858.50, 20,790.49 and 7,087.01 is: 10,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.50 : 20,790.49 = 7,087.01 : x
  2. Step 2: Convert to fraction form
    13,858.50/20,790.49 = 7,087.01/x
  3. Step 3: Cross multiply
    13,858.50x = 20,790.49 × 7,087.01
  4. Step 4: Simplify right side
    13,858.50x = 147,342,288.86
  5. Step 5: Solve for x
    x = 147,342,288.86/13,858.50
  6. Step 6: Final answer
    x = 10,631.91

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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.