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Finding the Fourth Proportional to 12,015.40, 18,023.10 and 10,709.80

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Solution

The fourth proportional to 12,015.40, 18,023.10 and 10,709.80 is: 16,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015.40 : 18,023.10 = 10,709.80 : x
  2. Step 2: Convert to fraction form
    12,015.40/18,023.10 = 10,709.80/x
  3. Step 3: Cross multiply
    12,015.40x = 18,023.10 × 10,709.80
  4. Step 4: Simplify right side
    12,015.40x = 193,023,796.38
  5. Step 5: Solve for x
    x = 193,023,796.38/12,015.40
  6. Step 6: Final answer
    x = 16,064.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.