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Finding the Fourth Proportional to 12,141.50, 18,200.09 and 4,735.77

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Solution

The fourth proportional to 12,141.50, 18,200.09 and 4,735.77 is: 7,098.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.50 : 18,200.09 = 4,735.77 : x
  2. Step 2: Convert to fraction form
    12,141.50/18,200.09 = 4,735.77/x
  3. Step 3: Cross multiply
    12,141.50x = 18,200.09 × 4,735.77
  4. Step 4: Simplify right side
    12,141.50x = 86,191,383.81
  5. Step 5: Solve for x
    x = 86,191,383.81/12,141.50
  6. Step 6: Final answer
    x = 7,098.91

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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.