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Finding the Fourth Proportional to 12,189.04, 16,820.80 and 6,600

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Solution

The fourth proportional to 12,189.04, 16,820.80 and 6,600 is: 9,107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.04 : 16,820.80 = 6,600 : x
  2. Step 2: Convert to fraction form
    12,189.04/16,820.80 = 6,600/x
  3. Step 3: Cross multiply
    12,189.04x = 16,820.80 × 6,600
  4. Step 4: Simplify right side
    12,189.04x = 111,017,280
  5. Step 5: Solve for x
    x = 111,017,280/12,189.04
  6. Step 6: Final answer
    x = 9,107.96

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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.