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Finding the Fourth Proportional to 18,200.06, 27,283.83 and 7,104.17

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Solution

The fourth proportional to 18,200.06, 27,283.83 and 7,104.17 is: 10,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,200.06 : 27,283.83 = 7,104.17 : x
  2. Step 2: Convert to fraction form
    18,200.06/27,283.83 = 7,104.17/x
  3. Step 3: Cross multiply
    18,200.06x = 27,283.83 × 7,104.17
  4. Step 4: Simplify right side
    18,200.06x = 193,828,830.15
  5. Step 5: Solve for x
    x = 193,828,830.15/18,200.06
  6. Step 6: Final answer
    x = 10,649.90

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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.