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Finding the Fourth Proportional to 12,164.60, 16,789.68 and 7,131.50

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Solution

The fourth proportional to 12,164.60, 16,789.68 and 7,131.50 is: 9,842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.60 : 16,789.68 = 7,131.50 : x
  2. Step 2: Convert to fraction form
    12,164.60/16,789.68 = 7,131.50/x
  3. Step 3: Cross multiply
    12,164.60x = 16,789.68 × 7,131.50
  4. Step 4: Simplify right side
    12,164.60x = 119,735,602.92
  5. Step 5: Solve for x
    x = 119,735,602.92/12,164.60
  6. Step 6: Final answer
    x = 9,842.95

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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.