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Finding the Fourth Proportional to 12,189.22, 16,820.75 and 6,811.52

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Solution

The fourth proportional to 12,189.22, 16,820.75 and 6,811.52 is: 9,399.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.22 : 16,820.75 = 6,811.52 : x
  2. Step 2: Convert to fraction form
    12,189.22/16,820.75 = 6,811.52/x
  3. Step 3: Cross multiply
    12,189.22x = 16,820.75 × 6,811.52
  4. Step 4: Simplify right side
    12,189.22x = 114,574,807.97
  5. Step 5: Solve for x
    x = 114,574,807.97/12,189.22
  6. Step 6: Final answer
    x = 9,399.69

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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.