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Finding the Fourth Proportional to 12,189, 16,820.88 and 6,600

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Solution

The fourth proportional to 12,189, 16,820.88 and 6,600 is: 9,108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189 : 16,820.88 = 6,600 : x
  2. Step 2: Convert to fraction form
    12,189/16,820.88 = 6,600/x
  3. Step 3: Cross multiply
    12,189x = 16,820.88 × 6,600
  4. Step 4: Simplify right side
    12,189x = 111,017,808
  5. Step 5: Solve for x
    x = 111,017,808/12,189
  6. Step 6: Final answer
    x = 9,108.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.