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Finding the Fourth Proportional to 12,009.50, 17,990.13 and 5,987.45

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Solution

The fourth proportional to 12,009.50, 17,990.13 and 5,987.45 is: 8,969.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.50 : 17,990.13 = 5,987.45 : x
  2. Step 2: Convert to fraction form
    12,009.50/17,990.13 = 5,987.45/x
  3. Step 3: Cross multiply
    12,009.50x = 17,990.13 × 5,987.45
  4. Step 4: Simplify right side
    12,009.50x = 107,715,003.87
  5. Step 5: Solve for x
    x = 107,715,003.87/12,009.50
  6. Step 6: Final answer
    x = 8,969.15

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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.