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Finding the Fourth Proportional to 12,189.40, 16,819.70 and 6,811.26

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Solution

The fourth proportional to 12,189.40, 16,819.70 and 6,811.26 is: 9,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.40 : 16,819.70 = 6,811.26 : x
  2. Step 2: Convert to fraction form
    12,189.40/16,819.70 = 6,811.26/x
  3. Step 3: Cross multiply
    12,189.40x = 16,819.70 × 6,811.26
  4. Step 4: Simplify right side
    12,189.40x = 114,563,349.82
  5. Step 5: Solve for x
    x = 114,563,349.82/12,189.40
  6. Step 6: Final answer
    x = 9,398.60

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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.