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Finding the Fourth Proportional to 12,009.50, 18,014.76 and 3,689.84

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Solution

The fourth proportional to 12,009.50, 18,014.76 and 3,689.84 is: 5,534.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.50 : 18,014.76 = 3,689.84 : x
  2. Step 2: Convert to fraction form
    12,009.50/18,014.76 = 3,689.84/x
  3. Step 3: Cross multiply
    12,009.50x = 18,014.76 × 3,689.84
  4. Step 4: Simplify right side
    12,009.50x = 66,471,550.84
  5. Step 5: Solve for x
    x = 66,471,550.84/12,009.50
  6. Step 6: Final answer
    x = 5,534.92

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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.